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cyclic n.  and  sphenic n.

First numbers that belong to both sets:

255, 345, 435, 455, 561, 595, 665, 705, 795, 805, 885, 957, 1001, 1105, 1173, 1235, 1245, 1295, 1309, 1335, 1353, 1463, 1479, 1495, 1547, 1551, 1605, 1615, 1645, 1695, 1729, 1749, 1855, 1885, 1947, 1955, 2001, 2055, 2065, 2091, 2093, 2185, 2235, 2261, 2343, 2345, 2387, 2397, 2405, 2431, 2465, 2505, 2555, 2595, 2685, 2703, 2717, 2737, 2739, 2755, 2765, 2795, 2821, 2829, 2849, 2905, 2955, 3009, 3055, 3059, 3115, 3145, 3157, 3333, 3335, 3367, 3395, 3405, 3495, 3515, 3531, 3553, 3567, 3585, 3605, 3619, 3621, 3655, 3657, 3689, 3729, 3731, 3745, 3815, 3835, 3855, 3945, 3995, 4035, 4071, 4081, 4085, 4089, 4123, 4147, 4199, 4233, 4255, 4277, 4323, 4355, 4395, 4403, 4433, 4465, 4505, 4521, 4539, 4543, 4611, 4697, 4745, 4755, 4795, 4865, 4879, 4899, 4917, 4921, 4945, 4991, 5015, 5035, 5083, 5151, 5205, 5215, 5291, 5295, 5365, 5369, 5385, 5395, 5423, 5453, 5457, 5495, 5511, 5551, 5593, 5605, 5621, 5681, 5695, 5705, 5709, 5727, 5745, 5763, 5781, 5785, 5797, 5835, 5845, 5863, 5907, 5957, 6055, 6061, 6083, 6095, 6097, 6141, 6149, 6177, 6205, 6235, 6251, 6265, 6285, 6303, 6305, 6307, 6365, 6391, 6409, 6479, 6501, 6519, 6601, 6643, 6645, 6681, 6695, 6715, 6721, 6735, 6755, 6785, 6815, 6851, 6919, 6935, 6955, 6965, 6969, 7005, 7021, 7049, 7055, 7085, 7163, 7185, 7221, 7257, 7259, 7345, 7383, 7429, 7469, 7473, 7491, 7505, 7545, 7553, 7565, 7599, 7635, 7657, 7667, 7685, 7689, 7705, 7733, 7743, 7777, 7797, 7805, 7847, 7885, 7887, 7931, 7945, 7955, 7973, 8015, 8029, 8041, 8099, 8113, 8155, 8177, 8239, 8245, 8255, 8283, 8319, 8355, 8393, 8395, 8437, 8445, 8455, 8481, 8517, 8533, 8535, 8569, 8671, 8679, 8687, 8695, 8723, 8733, 8787, 8789, 8805, 8823, 8827, 8877.

Some larger examples :