Search a number
self n.  and  untouchable n.

First numbers that belong to both sets:

5, 288, 626, 670, 714, 738, 782, 804, 872, 894, 1212, 1256, 1346, 1682, 1728, 1816, 1840, 1884, 2022, 2178, 2514, 2628, 2718, 2762, 2784, 2874, 3008, 3078, 3236, 3504, 3684, 3752, 3774, 3818, 3820, 3842, 3954, 4046, 4068, 4248, 4316, 4382, 4472, 4630, 4718, 4742, 4764, 4808, 4854, 4898, 5126, 5214, 5328, 5372, 5552, 5596, 5664, 5708, 5732, 5798, 5934, 6000, 6160, 6228, 6294, 6384, 6406, 6542, 6632, 6698, 6788, 6856, 6878, 7012, 7172, 7374, 7486, 7554, 7598, 7620, 7734, 7822, 7890, 7912, 8028, 8184, 8206, 8342, 8588, 8634, 8656, 8724, 8790, 8812, 8858, 8902, 8948, 8992, 9084, 9196, 9218, 9220, 9264, 9332, 9354, 9376, 9444, 9488, 9556, 9578, 9600, 9668, 9712, 9758, 9848, 9960, 9982, 10054, 10076, 10210, 10278, 10300, 10368, 10412, 10526, 10548, 10638, 10794, 10930, 11044, 11268, 11336, 11358, 11380, 11516, 11628, 11672, 11694, 11716, 11806, 11896, 11918, 11964, 12168, 12190, 12236, 12258, 12594, 12752, 12796, 12932, 13068, 13090, 13136, 13202, 13226, 13248, 13428, 13494, 13584, 13674, 13720, 13742, 14126, 14148, 14192, 14394, 14418, 14484, 14574, 14664, 14934, 14978, 15048, 15116, 15182, 15294, 15340, 15406, 15518, 15654, 15722, 15744, 15900, 15968, 16012, 16082, 16240, 16262, 16306, 16374, 16464, 16508, 16598, 16644, 16688, 16710, 16734, 16756, 16778, 16822, 16868, 16936, 16958, 17002, 17252, 17274, 17364, 17544, 17588, 17634, 17656, 17678, 17768, 18264, 18420, 18422, 18534, 18600, 18622, 18668, 18690, 18736, 18780, 18802, 18848, 19030, 19410, 19456, 19522, 19568, 19658, 19680, 19726, 19770, 19792, 19904, 20088, 20200, 20246, 20268, 20312, 20448, 20470, 20514, 20516, 20538, 20582, 20716, 20896, 20918, 21056, 21168, 21416, 21528, 21594, 22024, 22180, 22270, 22314, 22316, 22428, 22518, 22584, 22606, 22898, 22920, 23214, 23216, 23304, 23350, 23394, 23484, 23506, 23574, 23618, 23620, 23686, 23708, 23732.

Some larger examples :