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Curzon n.  and  Duffinian n.

First numbers that belong to both sets:

9, 21, 50, 65, 81, 98, 125, 189, 209, 221, 245, 309, 329, 338, 341, 413, 453, 485, 525, 629, 713, 729, 741, 749, 785, 813, 833, 849, 873, 893, 905, 965, 989, 993, 1089, 1101, 1121, 1133, 1205, 1265, 1349, 1421, 1469, 1505, 1533, 1541, 1629, 1649, 1661, 1673, 1685, 1769, 1821, 1829, 1925, 1953, 1961, 2025, 2105, 2169, 2181, 2253, 2261, 2321, 2345, 2361, 2493, 2501, 2525, 2573, 2585, 2613, 2709, 2721, 2738, 2781, 2825, 2921, 2993, 3005, 3033, 3065, 3081, 3101, 3149, 3161, 3189, 3225, 3281, 3401, 3441, 3473, 3485, 3509, 3513, 3605, 3641, 3653, 3665, 3749, 3753, 3773, 3941, 3953, 3981, 4061, 4121, 4181, 4193, 4221, 4269, 4401, 4418, 4433, 4505, 4529, 4593, 4601, 4613, 4661, 4685, 4701, 4709, 4745, 4769, 4773, 4809, 4869, 4901, 4925, 4941, 4953, 4961, 5033, 5069, 5105, 5129, 5165, 5213, 5249, 5429, 5489, 5493, 5513, 5529, 5585, 5621, 5625, 5705, 5789, 5889, 5913, 5933, 5961, 5969, 5993, 6005, 6021, 6050, 6125, 6161, 6305, 6381, 6489, 6573, 6593, 6609, 6629, 6665, 6669, 6749, 6809, 6813, 6845, 6861, 6881, 6929, 6941, 6953, 7025, 7041, 7313, 7361, 7373, 7385, 7421, 7461, 7569, 7613, 7653, 7721, 7725, 7833, 7865, 7869, 7893, 7961, 7985, 8033, 8213, 8225, 8301, 8309, 8325, 8373, 8381, 8405, 8450, 8465, 8489, 8549, 8553, 8561, 8769, 8789, 8829, 8841, 8873, 8913, 8978, 8993, 9021, 9065, 9125, 9185, 9189, 9261, 9269, 9365, 9401, 9449, 9489, 9525, 9569, 9581, 9605, 9701, 9713, 9869, 9881, 9909, 9921, 10025, 10053, 10073, 10109, 10161, 10173, 10205, 10373, 10385, 10449, 10469, 10481, 10505, 10533, 10553, 10569, 10641, 10658, 10661, 10673, 10749, 10793, 10805, 10841, 10893, 10901, 10929, 11001, 11033, 11045, 11073, 11129, 11153, 11241, 11285, 11309, 11325, 11405.

Some larger examples :