27441 is a product of a 4k+3 prime (3) raised to an even power (2) and a 4k+1 prime. Therefore it can be expressed as a sum of two squares in one way only viz. 135^2 + 96^2.

27441 is a concatenation of two cubes, namely 2744 = 14^3 and 1 = 1^3. See Bespoken for Sequences entry.

27441 is a number that is the lesser of a pair of adjacent composite numbers such that both are only one step away from their home primes. Here 27441 --> 333049 and 27442 = 2 * 13721 --> 213721. See Bespoken for Sequences entry.

Members from 27441 onwards are:

27441, 27450, 27483, 27504, 27570, 27597, 27598, 27599, 27600, 27601, 27626, 27627, 27670, 27717, 27723, 27776, 27807, 27812, 27938, 27944, 28045, 28153, 28195, 28196, 28248, 28314, 28328, 28353, 28406, 28417, 28457, 28460, 28468, 28535, 28542, 28550, 28574, 28575, 28650, 28765, 28856, 28869, 28951, 29010, 29034, 29037, 29044, 29164, 29215, 29239, 29244, 29277, 29293, 29314, 29349, 29384, 29460, 29511, 29517, 29571, 29585, 29661, 29906, 30212, 30243, 30265, 30387, 30411, 30505, 30506, 30507, 30535, 30540, 30627, 30658, 30659, 30668, 30786, 30823, 30835, 30836, 30837, 30875, 30913, 30990, 30991, 31023, 31024, 31025, 31041, 31178, 31179, 31194, 31273, 31278, 31279, 31374, 31382, 31459, 31492, 31502, 31561, 31577, 31650, 31651, 31652, 31653, 31677, 31797, 31881, 31896, 31969, 31992, 32006, 32022, 32049, 32122, 32123, 32124, 32131, 32132, 32228, 32229, 32264, 32290, 32291, 32329, 32330, 32331, 32361, 32436, 32437, 32583, 32606, 32649, 32664, 32841, 32857, 32858, 32898, 32961, 33069, 33155, 33169, 33192, 33244, 33298, 33366, 33429, 33499, 33504, 33591, 33610, 33681, 33684, 33698, 33754, 33837, 33838, 33913, 33921, 34008, 34063, 34083, 34104, 34176, 34242, 34243, 34263, 34293, 34338, 34339, 34340, 34383, 34411, 34474, 34475, 34485, 34524, 34587, 34624, 34628, 34695, 34696, 34697, 34774, 34866, 34887, 34915, 34923, 34944, 35108, 35119, 35120, 35190, 35199, 35203, 35210, 35235, 35307, 35361, 35391, 35420, 35462, 35480, 35494, 35525, 35562, 35575, 35598, 35611, 35612, 35648, 35690, 35691, 35715, 35772, 35943, 35946, 35989, 36038, 36078, 36129, 36133, 36153, 36188, 36213, 36297, 36366, 36367, 36381, 36385, 36405, 36406, 36414, 36448, 36462, 36600, 36608, 36649, 36666, 36722, 36723, 36753, 36756, 36795, 36828, 36834, 36889, 36890, 36948, 36994, 37063, 37064, 37065, 37099, 37224, 37225, 37238, 37285, 37286, 37353, 37372, 37386, 37429, 37497, 37530, 37540, 37593, 37611, 37621, 37634, 37722, 37849, 37857, 37876, 37893, 37974, 38005, 38178, 38229, 38270, 38346, 38389, 38451, 38520, 38523, 38564, 38575, 38601, 38623, 38624, 38646, 38685, 38724, 38826, 38827, 38901, 39009, 39026, 39121, 39140, 39145, 39177, 39294, 39333, 39453, 39565, 39648, 39789, 39800, 39806, 39816, 39878, 39931, 39972]

27441 is a happy and Duffinian number.

27441 can be rendered as a digit equation as follows:

2 + 7 = 4 + 4 + 1

27441 stabilises after about 280 generations of Conway's Game of Life to a single glider, an oscillating traffic light and a few still life shapes.