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Curzon n.  and  happy n.

First numbers that belong to both sets:

1, 86, 230, 293, 326, 329, 338, 386, 638, 653, 761, 806, 818, 833, 989, 998, 1121, 1125, 1185, 1218, 1233, 1274, 1353, 1418, 1478, 1481, 1518, 1533, 1581, 1706, 1733, 1745, 1758, 1769, 1785, 1818, 1821, 2109, 2121, 2174, 2181, 2258, 2393, 2478, 2630, 2693, 2741, 2825, 2874, 2910, 2930, 2933, 3026, 3065, 3086, 3213, 3290, 3329, 3506, 3513, 3605, 3653, 3654, 3926, 4046, 4118, 4181, 4365, 4418, 4481, 4545, 4554, 4718, 4814, 5066, 5121, 5133, 5178, 5306, 5313, 5445, 5454, 5558, 5585, 5606, 5630, 5718, 5721, 5741, 5774, 5789, 5798, 6053, 6258, 6305, 6329, 6453, 6665, 6710, 6798, 6938, 6998, 7125, 7313, 7389, 7398, 7421, 7425, 7541, 7574, 7721, 7814, 7841, 7869, 7893, 7938, 7961, 7985, 7986, 8033, 8114, 8174, 8181, 8225, 8330, 8414, 8441, 8526, 8693, 8741, 8769, 8874, 8969, 8990, 9021, 9230, 9378, 9386, 9578, 9689, 9738, 9785, 9869, 9921, 9945, 9986, 10221, 10274, 10281, 10353, 10373, 10481, 10533, 10574, 10578, 10581, 10670, 10733, 10745, 10758, 10841, 10929, 11025, 11085, 11145, 11174, 11234, 11241, 11250, 11358, 11429, 11438, 11501, 11510, 11514, 11645, 11834, 11838, 12009, 12021, 12090, 12101, 12114, 12210, 12341, 12366, 12374, 12381, 12438, 12654, 12705, 12726, 12734, 12761, 12770, 12801, 12810, 12909, 12969, 12990, 13053, 13158, 13185, 13218, 13334, 13350, 13530, 13626, 13754, 13769, 13874, 13881, 13889, 13998, 14081, 14138, 14238, 14270, 14273, 14274, 14321, 14561, 14565, 14573, 14625, 14705, 14750, 14870, 15101, 15146, 15201, 15246, 15318, 15330, 15381, 15426, 15446, 15465, 15470, 15573, 15734, 15773, 15813, 15870, 15929, 15990, 16070, 16118, 16154, 16181, 16245, 16326, 16454, 16514, 16541, 16545, 16790, 16793, 16970, 16998, 17085, 17126, 17141, 17234, 17250, 17369, 17438, 17534, 17553, 17669, 17690, 17753, 17885, 17966, 18018, 18041, 18134, 18138, 18153, 18234.

Some larger examples :