Search a number
deficient n.  and  palindromic n.

First numbers that belong to both sets:

1, 2, 3, 4, 5, 7, 8, 9, 11, 22, 33, 44, 55, 77, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 232, 242, 262, 292, 303, 313, 323, 333, 343, 353, 363, 373, 383, 393, 404, 424, 434, 454, 484, 494, 505, 515, 525, 535, 545, 555, 565, 575, 585, 595, 626, 646, 656, 676, 686, 707, 717, 727, 737, 747, 757, 767, 777, 787, 797, 808, 818, 838, 848, 878, 898, 909, 919, 929, 939, 949, 959, 969, 979, 989, 999, 1001, 1111, 1221, 1331, 1441, 1551, 1661, 1771, 1881, 1991, 2222, 2332, 2662, 2882, 3003, 3113, 3223, 3333, 3443, 3553, 3663, 3773, 3883, 3993, 4114, 4334, 4444, 4774, 4994, 5005, 5115, 5225, 5335, 5445, 5555, 5665, 5885, 5995, 6116, 6226, 6446, 6556, 6886, 7007, 7117, 7227, 7337, 7447, 7557, 7667, 7777, 7887, 7997, 8338, 8558, 8668, 8998, 9009, 9119, 9229, 9339, 9449, 9559, 9669, 9779, 9889, 9999, 10001, 10101, 10201, 10301, 10401, 10501, 10601, 10701, 10801, 10901, 11011, 11111, 11211, 11311, 11411, 11511, 11611, 11711, 11811, 11911, 12021, 12121, 12221, 12321, 12421, 12521, 12621, 12721, 12821, 12921, 13031, 13131, 13231, 13331, 13431, 13531, 13631, 13731, 13831, 13931, 14041, 14141, 14241, 14341, 14441, 14541, 14641, 14741, 14841, 14941, 15051, 15151, 15251, 15351, 15451, 15551, 15651, 15751, 15851, 15951, 16061, 16161, 16261, 16361, 16461, 16561, 16661, 16761, 16861, 16961, 17071, 17171, 17271, 17371, 17471, 17571, 17671, 17771, 17871, 17971, 18081, 18181, 18281, 18381, 18481, 18581, 18681, 18781, 18881, 18981, 19091, 19191, 19291, 19391, 19491, 19591, 19691, 19791, 19891, 19991, 20002, 20102, 20302, 20402, 20602, 20702, 20902, 21212, 21412, 21512, 22222, 22322, 22522, 22622, 22822, 22922, 23032, 23132, 23332, 23432, 23732, 23932, 24142, 24242, 24442.

Some larger examples :