27671 is a member of OEIS A245475: numbers n such that the sum of digits (23), sum of squares of digits (139), and sum of cubes of digits (911) are all prime. It is a permutation of the lowest possible number (12677) formed from the digits 1, 2, 6, 7 and 7.

Here are the members from 27671 to 40000:

[27671, 27716, 27725, 27749, 27752, 27761, 27794, 27848, 27884, 27947, 27974, 28009, 28025, 28045, 28052, 28054, 28090, 28111, 28124, 28135, 28142, 28148, 28153, 28184, 28205, 28214, 28225, 28234, 28241, 28243, 28250, 28252, 28315, 28324, 28342, 28351, 28355, 28405, 28412, 28418, 28421, 28423, 28432, 28450, 28478, 28481, 28487, 28502, 28504, 28513, 28520, 28522, 28531, 28535, 28540, 28553, 28559, 28568, 28586, 28595, 28658, 28685, 28748, 28784, 28814, 28841, 28847, 28856, 28865, 28874, 28900, 28955, 28999, 29008, 29080, 29222, 29299, 29369, 29396, 29477, 29558, 29585, 29639, 29693, 29747, 29774, 29800, 29855, 29899, 29929, 29936, 29963, 29989, 29992, 29998, 30011, 30022, 30035, 30037, 30046, 30053, 30055, 30064, 30073, 30088, 30101, 30110, 30149, 30194, 30202, 30220, 30233, 30305, 30307, 30323, 30332, 30347, 30350, 30358, 30367, 30370, 30374, 30376, 30385, 30406, 30419, 30437, 30460, 30466, 30473, 30491, 30503, 30505, 30530, 30538, 30550, 30569, 30583, 30596, 30604, 30637, 30640, 30646, 30659, 30664, 30673, 30695, 30703, 30730, 30734, 30736, 30743, 30763, 30808, 30835, 30853, 30880, 30914, 30941, 30956, 30965, 31001, 31010, 31049, 31094, 31100, 31111, 31117, 31124, 31133, 31142, 31144, 31166, 31171, 31199, 31214, 31241, 31247, 31258, 31274, 31285, 31313, 31331, 31333, 31339, 31393, 31409, 31412, 31414, 31421, 31427, 31441, 31445, 31454, 31472, 31478, 31487, 31490, 31528, 31544, 31582, 31616, 31661, 31711, 31724, 31742, 31748, 31784, 31825, 31847, 31852, 31874, 31904, 31919, 31933, 31940, 31991, 32002, 32020, 32033, 32114, 32141, 32147, 32158, 32174, 32185, 32200, 32248, 32255, 32284, 32303, 32330, 32411, 32417, 32428, 32444, 32455, 32471, 32482, 32518, 32525, 32545, 32552, 32554, 32558, 32581, 32585, 32699, 32714, 32741, 32815, 32824, 32842, 32851, 32855, 32969, 32996, 33005, 33007, 33023, 33032, 33047, 33050, 33058, 33067, 33070, 33074, 33076, 33085, 33113, 33131, 33133, 33139, 33193, 33203, 33230, 33302, 33311, 33313, 33319, 33320, 33331, 33335, 33353, 33368, 33386, 33391, 33407, 33449, 33470, 33494, 33500, 33508, 33533, 33580, 33607, 33638, 33670, 33683, 33689, 33698, 33700, 33704, 33706, 33740, 33760, 33805, 33836, 33850, 33863, 33869, 33896, 33913, 33931, 33944, 33968, 33986, 34006, 34019, 34037, 34060, 34066, 34073, 34091, 34109, 34112, 34114, 34121, 34127, 34141, 34145, 34154, 34172, 34178, 34187, 34190, 34211, 34217, 34228, 34244, 34255, 34271, 34282, 34307, 34349, 34370, 34394, 34411, 34415, 34424, 34439, 34442, 34444, 34451, 34466, 34493, 34514, 34525, 34541, 34552, 34600, 34606, 34646, 34660, 34664, 34703, 34712, 34718, 34721, 34730, 34781, 34817, 34822, 34871, 34901, 34910, 34934, 34943, 35003, 35005, 35030, 35038, 35050, 35069, 35083, 35096, 35128, 35144, 35182, 35218, 35225, 35245, 35252, 35254, 35258, 35281, 35285, 35300, 35308, 35333, 35380, 35414, 35425, 35441, 35452, 35500, 35522, 35524, 35528, 35542, 35582, 35609, 35690, 35777, 35803, 35812, 35821, 35825, 35830, 35852, 35906, 35960, 36004, 36037, 36040, 36046, 36059, 36064, 36073, 36095, 36116, 36161, 36299, 36307, 36338, 36370, 36383, 36389, 36398, 36400, 36406, 36446, 36460, 36464, 36509, 36590, 36604, 36611, 36640, 36644, 36668, 36679, 36686, 36697, 36703, 36730, 36769, 36796, 36833, 36839, 36866, 36893, 36905, 36929, 36938, 36950, 36967, 36976, 36983, 36992, 37003, 37030, 37034, 37036, 37043, 37063, 37111, 37124, 37142, 37148, 37184, 37214, 37241, 37300, 37304, 37306, 37340, 37360, 37403, 37412, 37418, 37421, 37430, 37481, 37577, 37603, 37630, 37669, 37696, 37757, 37775, 37814, 37841, 37966, 38008, 38035, 38053, 38080, 38125, 38147, 38152, 38174, 38215, 38224, 38242, 38251, 38255, 38305, 38336, 38350, 38363, 38369, 38396, 38417, 38422, 38471, 38503, 38512, 38521, 38525, 38530, 38552, 38633, 38639, 38666, 38693, 38714, 38741, 38800, 38936, 38963, 39014, 39041, 39056, 39065, 39104, 39119, 39133, 39140, 39191, 39269, 39296, 39313, 39331, 39344, 39368, 39386, 39401, 39410, 39434, 39443, 39506, 39560, 39605, 39629, 39638, 39650, 39667, 39676, 39683, 39692, 39766, 39836, 39863, 39911, 39926, 39962]

27671 is a sphenic, cyclic, Duffinian and happy number.

27671 is an Ulam number with 27671 = 47 + 27624.

27671 can be rendered as a digit equation as follows:

2 * 7 - 6 = 7 + 1