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Duffinian n.  and  sphenic n.

First numbers that belong to both sets:

385, 399, 595, 651, 715, 741, 777, 805, 903, 935, 1085, 1105, 1209, 1265, 1281, 1295, 1309, 1407, 1443, 1463, 1495, 1505, 1533, 1645, 1659, 1677, 1705, 1767, 1771, 1855, 1955, 2015, 2035, 2135, 2163, 2233, 2255, 2261, 2289, 2345, 2379, 2387, 2405, 2431, 2451, 2485, 2555, 2585, 2613, 2635, 2665, 2667, 2717, 2737, 2795, 2847, 2849, 2915, 3055, 3059, 3081, 3145, 3171, 3289, 3297, 3355, 3423, 3441, 3445, 3451, 3477, 3485, 3535, 3553, 3565, 3605, 3619, 3655, 3685, 3689, 3745, 3783, 3819, 3857, 3905, 3955, 3965, 3995, 3999, 4015, 4053, 4081, 4123, 4147, 4161, 4179, 4199, 4251, 4255, 4301, 4355, 4403, 4431, 4433, 4445, 4503, 4505, 4543, 4565, 4585, 4615, 4669, 4697, 4715, 4745, 4773, 4795, 4807, 4809, 4945, 4953, 4991, 5061, 5083, 5117, 5159, 5185, 5285, 5291, 5335, 5395, 5405, 5421, 5423, 5467, 5495, 5529, 5555, 5593, 5621, 5665, 5681, 5691, 5705, 5719, 5735, 5797, 5817, 5863, 5871, 5885, 5889, 5943, 5957, 6035, 6055, 6061, 6083, 6095, 6123, 6205, 6213, 6215, 6231, 6251, 6293, 6305, 6307, 6355, 6357, 6409, 6479, 6565, 6573, 6665, 6685, 6721, 6755, 6771, 6789, 6851, 6853, 6895, 6919, 6923, 6951, 6955, 6985, 7015, 7021, 7049, 7055, 7077, 7163, 7239, 7259, 7285, 7337, 7345, 7347, 7385, 7429, 7437, 7511, 7527, 7535, 7567, 7579, 7585, 7657, 7667, 7705, 7707, 7761, 7777, 7833, 7843, 7847, 7869, 7923, 7931, 7945, 7955, 7959, 8029, 8113, 8155, 8165, 8177, 8215, 8229, 8239, 8245, 8255, 8305, 8337, 8395, 8435, 8437, 8449, 8515, 8533, 8569, 8589, 8635, 8643, 8671, 8687, 8695, 8697, 8701, 8723, 8729, 8755, 8769, 8789, 8815, 8841, 8905, 8911, 8931, 8949, 8965, 8995, 9021, 9061, 9095, 9185, 9205, 9219, 9269, 9291, 9331, 9361, 9367, 9399, 9401, 9417, 9443, 9485.

Some larger examples :