Search a number
deficient n.  and  untouchable n.

First numbers that belong to both sets:

2, 5, 52, 124, 146, 188, 206, 238, 248, 262, 268, 290, 292, 322, 326, 406, 430, 472, 518, 530, 556, 562, 584, 626, 628, 658, 668, 670, 718, 766, 782, 802, 818, 848, 872, 892, 898, 902, 926, 934, 964, 976, 982, 1028, 1046, 1078, 1102, 1150, 1162, 1168, 1186, 1192, 1222, 1246, 1256, 1258, 1318, 1342, 1346, 1348, 1388, 1406, 1418, 1438, 1508, 1510, 1522, 1528, 1538, 1588, 1642, 1682, 1718, 1732, 1766, 1774, 1816, 1822, 1838, 1844, 1852, 1894, 1922, 1958, 1972, 2008, 2036, 2048, 2050, 2062, 2068, 2078, 2096, 2098, 2108, 2152, 2158, 2168, 2174, 2198, 2218, 2228, 2248, 2258, 2302, 2306, 2330, 2338, 2356, 2366, 2404, 2410, 2416, 2422, 2446, 2452, 2482, 2498, 2518, 2564, 2572, 2588, 2602, 2606, 2608, 2614, 2642, 2726, 2758, 2762, 2774, 2788, 2824, 2876, 2894, 2902, 2914, 2932, 2950, 2978, 2984, 3028, 3076, 3104, 3142, 3152, 3202, 3208, 3236, 3238, 3266, 3278, 3292, 3296, 3356, 3406, 3412, 3422, 3428, 3448, 3454, 3476, 3484, 3488, 3506, 3524, 3538, 3590, 3592, 3604, 3650, 3652, 3656, 3670, 3682, 3746, 3748, 3758, 3788, 3812, 3818, 3832, 3842, 3862, 3868, 3902, 3958, 3974, 3982, 3986, 4018, 4036, 4046, 4072, 4078, 4148, 4168, 4184, 4190, 4198, 4238, 4258, 4268, 4304, 4316, 4318, 4322, 4336, 4370, 4382, 4388, 4402, 4406, 4430, 4462, 4490, 4492, 4498, 4534, 4574, 4588, 4612, 4618, 4630, 4678, 4688, 4718, 4738, 4742, 4748, 4750, 4772, 4808, 4838, 4850, 4856, 4868, 4882, 4886, 4898, 4916, 4942, 4964, 4982, 5030, 5044, 5072, 5092, 5126, 5132, 5138, 5144, 5158, 5204, 5218, 5222, 5224, 5252, 5270, 5278, 5302, 5308, 5366, 5372, 5378, 5386, 5428, 5458, 5470, 5492, 5542, 5552, 5578, 5588, 5596, 5602, 5606, 5614, 5636, 5666.

Some larger examples :