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congruent n.  and  deceptive n.

First numbers that belong to both sets:

703, 2821, 2981, 3367, 4141, 5461, 6533, 6541, 7471, 8149, 8911, 10001, 11111, 13981, 14701, 14911, 15841, 22321, 24013, 24661, 27613, 29341, 34133, 38503, 41041, 45527, 46657, 50851, 57181, 63973, 65311, 66991, 67861, 68101, 83119, 101101, 102173, 118301, 118957, 122221, 130351, 131821, 134821, 134863, 137149, 138481, 139231, 145181, 152551, 162401, 164761, 172081, 188191, 188269, 188461, 188501, 201917, 216001, 225589, 234421, 248677, 250717, 251251, 274231, 281821, 286903, 287749, 294409, 314821, 334153, 341503, 364277, 390313, 391141, 410041, 420343, 489997, 491063, 492101, 497503, 497927, 509971, 512461, 522349, 585631, 595231, 597871, 632641, 634351, 679861, 710533, 741751, 748657, 765703, 847693, 853381, 873181, 880237, 886033, 909709, 981317, 997981, 1033669, 1039441, 1111111, 1128871, 1141141, 1146401, 1152271, 1163801, 1167607, 1168513, 1169101, 1171261, 1193221, 1251949, 1268551, 1272271, 1294411, 1308853, 1362061, 1398101, 1419607, 1446241, 1446661, 1462441, 1463749, 1492663, 1498981, 1531711, 1543381, 1551941, 1576381, 1583821, 1590751, 1615681, 1703221, 1705621, 1711381, 1756351, 1803413, 1826209, 1887271, 1892143, 1926761, 1942957, 1943341, 1945423, 1953671, 1991821, 2030341, 2085301, 2100901, 2146957, 2161501, 2165801, 2171197, 2194973, 2205967, 2337301, 2358533, 2386141, 2463661, 2503501, 2508013, 2525909, 2539183, 2553061, 2563903, 2585701, 2603381, 2630071, 2699431, 2719981, 2795519, 2824061, 2879317, 2887837, 2899351, 2916511, 2949991, 2976487, 2987167, 3057601, 3146221, 3186821, 3209053, 3247453, 3369421, 3387781, 3400013, 3429889, 3471071, 3506221, 3536821, 3581761, 3593551, 3677741, 3740737, 3781141, 3817681, 3862207, 3985921, 4010401, 4014241, 4064677, 4077151, 4099439, 4119301, 4209661, 4234021, 4255903, 4260301, 4326301, 4363261, 4363661, 4373461, 4415581, 4469471, 4469551, 4499701, 4504501, 4543621, 4630141, 4762381, 4806061, 4863127, 4917781, 5031181, 5122133, 5160013, 5197837, 5203471, 5292631, 5308181, 5474657, 5478913, 5481451, 5495023, 5502061, 5718721, 5780941, 5804821, 5824711, 5887189, 5892511, 5934391, 5943301, 5950501, 5956741, 6096181, 6189121, 6298513, 6457951, 6469789, 6539821, 6544561, 6724861, 6733693, 6822541, 6868261, 6906901, 6934951, 6969511, 6997981, 7071181, 7262413, 7406311, 7428421, 7434541, 7455481, 7532713, 7624501, 7652101, 7678501, 7683397, 7686401, 7686647, 7765759, 7968511.

Some larger examples :