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amenable n.  and  sphenic n.

First numbers that belong to both sets:

105, 165, 273, 285, 345, 357, 385, 429, 465, 561, 609, 645, 665, 705, 741, 777, 805, 861, 885, 897, 957, 969, 1001, 1005, 1045, 1065, 1085, 1105, 1113, 1173, 1185, 1209, 1221, 1245, 1265, 1281, 1309, 1353, 1505, 1533, 1545, 1581, 1605, 1645, 1653, 1677, 1705, 1729, 1749, 1833, 1869, 1885, 1905, 1965, 2001, 2013, 2037, 2065, 2085, 2093, 2109, 2121, 2185, 2193, 2233, 2261, 2265, 2289, 2301, 2337, 2345, 2365, 2373, 2397, 2405, 2409, 2445, 2465, 2485, 2505, 2553, 2585, 2613, 2665, 2685, 2697, 2717, 2737, 2765, 2769, 2821, 2829, 2849, 2865, 2877, 2905, 2937, 2945, 2985, 3009, 3021, 3081, 3129, 3145, 3157, 3165, 3201, 3237, 3245, 3289, 3297, 3333, 3345, 3405, 3417, 3441, 3445, 3477, 3485, 3553, 3565, 3585, 3597, 3605, 3621, 3633, 3657, 3685, 3689, 3729, 3741, 3745, 3765, 3801, 3813, 3857, 3905, 3913, 3945, 3965, 4017, 4029, 4053, 4065, 4081, 4085, 4089, 4137, 4161, 4173, 4209, 4233, 4245, 4277, 4301, 4345, 4433, 4445, 4465, 4505, 4521, 4565, 4585, 4605, 4665, 4669, 4697, 4745, 4773, 4809, 4865, 4893, 4917, 4921, 4929, 4945, 4953, 4965, 5037, 5061, 5073, 5109, 5117, 5133, 5181, 5185, 5205, 5217, 5253, 5285, 5289, 5365, 5369, 5385, 5397, 5405, 5421, 5453, 5457, 5505, 5529, 5593, 5605, 5621, 5649, 5665, 5673, 5681, 5685, 5705, 5709, 5745, 5757, 5781, 5785, 5797, 5817, 5829, 5845, 5885, 5889, 5901, 5945, 5957, 5973, 6061, 6097, 6141, 6149, 6153, 6177, 6205, 6213, 6265, 6285, 6293, 6305, 6357, 6365, 6369, 6409, 6441, 6461, 6465, 6477, 6501, 6513, 6549, 6565, 6573, 6585, 6601, 6645, 6657, 6665, 6681, 6685, 6693, 6721, 6745, 6785, 6789, 6837, 6853, 6873, 6945, 6965, 6969, 6981, 6985, 7005, 7021, 7049, 7077, 7085, 7089, 7185, 7189, 7205, 7221.

Some larger examples :