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lucky n.  and  sphenic n.

First numbers that belong to both sets:

105, 195, 231, 273, 285, 357, 385, 399, 429, 483, 615, 645, 651, 741, 777, 805, 885, 897, 903, 957, 1023, 1095, 1105, 1209, 1245, 1281, 1309, 1419, 1435, 1455, 1491, 1495, 1533, 1545, 1599, 1645, 1659, 1705, 1749, 1767, 1771, 1833, 1869, 1965, 2001, 2065, 2067, 2085, 2121, 2163, 2211, 2301, 2343, 2355, 2365, 2379, 2409, 2445, 2505, 2607, 2635, 2667, 2697, 2715, 2755, 2821, 2877, 2905, 3055, 3111, 3171, 3243, 3289, 3297, 3355, 3363, 3405, 3451, 3477, 3495, 3507, 3565, 3597, 3621, 3633, 3655, 3685, 3955, 3999, 4015, 4035, 4081, 4161, 4173, 4179, 4251, 4255, 4431, 4465, 4495, 4521, 4539, 4551, 4587, 4611, 4623, 4695, 4767, 4773, 4809, 4893, 4929, 4965, 5019, 5151, 5181, 5217, 5235, 5253, 5295, 5335, 5343, 5379, 5385, 5487, 5551, 5559, 5593, 5649, 5673, 5691, 5719, 5763, 5817, 5883, 5889, 5901, 5973, 6055, 6061, 6123, 6141, 6177, 6351, 6355, 6369, 6447, 6477, 6501, 6531, 6567, 6573, 6601, 6693, 6715, 6745, 6747, 6789, 6915, 6951, 6981, 6985, 7077, 7345, 7359, 7437, 7503, 7567, 7585, 7645, 7689, 7701, 7833, 7881, 7885, 8007, 8169, 8283, 8365, 8421, 8445, 8449, 8493, 8515, 8535, 8589, 8601, 8635, 8655, 8769, 8787, 8805, 8827, 8841, 8895, 8931, 8961, 8979, 8995, 9061, 9085, 9139, 9145, 9213, 9231, 9273, 9285, 9291, 9303, 9331, 9339, 9373, 9399, 9429, 9483, 9789, 9795, 9807, 9915, 10059, 10087, 10095, 10131, 10149, 10153, 10191, 10255, 10311, 10317, 10365, 10387, 10461, 10507, 10509, 10563, 10569, 10585, 10635, 10653, 10759, 10785, 10797, 10923, 10945, 11005, 11077, 11137, 11245, 11247, 11289, 11343, 11373, 11395, 11407, 11427, 11487, 11535, 11577, 11679, 11803, 11811, 11815, 11823, 11845, 11847, 11877, 11991, 12117, 12121, 12165, 12207, 12265, 12315, 12363, 12435, 12543, 12567, 12579, 12621, 12649.

Some larger examples :