27725 is a product of a 4k+1 prime squared and a 4k+1 prime and so it can be expressed as a sum of two squares in three different ways, namely 13^2+166^2, 34^2+163^2 and 110^2+125^2.
27725 is a member of OEIS A139284: analog of A121805 (commas sequence), but starting with 2 (notice the difference between 27693 and 27725 is 32 and the difference between 27725 and 27777 is 52.
Here the terms from 27693 to 40000:
27693, 27725, 27777, 27849, 27941, 27953, 27985, 28037, 28109, 28201, 28213, 28245, 28297, 28369, 28461, 28473, 28505, 28557, 28629, 28721, 28733, 28765, 28817, 28889, 28981, 28993, 29025, 29077, 29149, 29241, 29253, 29285, 29337, 29409, 29501, 29513, 29545, 29597, 29669, 29761, 29773, 29805, 29857, 29929, 30022, 30045, 30098, 30181, 30194, 30237, 30310, 30313, 30346, 30409, 30502, 30525, 30578, 30661, 30674, 30717, 30790, 30793, 30826, 30889, 30982, 31005, 31058, 31141, 31154, 31197, 31270, 31273, 31306, 31369, 31462, 31485, 31538, 31621, 31634, 31677, 31750, 31753, 31786, 31849, 31942, 31965, 32018, 32101, 32114, 32157, 32230, 32233, 32266, 32329, 32422, 32445, 32498, 32581, 32594, 32637, 32710, 32713, 32746, 32809, 32902, 32925, 32978, 33061, 33074, 33117, 33190, 33193, 33226, 33289, 33382, 33405, 33458, 33541, 33554, 33597, 33670, 33673, 33706, 33769, 33862, 33885, 33938, 34021, 34034, 34077, 34150, 34153, 34186, 34249, 34342, 34365, 34418, 34501, 34514, 34557, 34630, 34633, 34666, 34729, 34822, 34845, 34898, 34981, 34994, 35037, 35110, 35113, 35146, 35209, 35302, 35325, 35378, 35461, 35474, 35517, 35590, 35593, 35626, 35689, 35782, 35805, 35858, 35941, 35954, 35997, 36070, 36073, 36106, 36169, 36262, 36285, 36338, 36421, 36434, 36477, 36550, 36553, 36586, 36649, 36742, 36765, 36818, 36901, 36914, 36957, 37030, 37033, 37066, 37129, 37222, 37245, 37298, 37381, 37394, 37437, 37510, 37513, 37546, 37609, 37702, 37725, 37778, 37861, 37874, 37917, 37990, 37993, 38026, 38089, 38182, 38205, 38258, 38341, 38354, 38397, 38470, 38473, 38506, 38569, 38662, 38685, 38738, 38821, 38834, 38877, 38950, 38953, 38986, 39049, 39142, 39165, 39218, 39301
27725 is a number whose sum of digits (SOD), SOD^2 and SOD^3 are all prime, here 23, 131 and 827. See Bespoken for Sequences entry.
27725 can be rendered as a digit equation as follows:
2 + 7 / 7 = -2 + 5
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