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modest n.  and  sphenic n.

First numbers that belong to both sets:

222, 266, 399, 406, 418, 555, 609, 618, 627, 654, 777, 822, 1015, 1022, 1030, 1045, 1066, 1090, 1222, 1266, 1442, 1463, 1533, 1545, 1599, 1833, 1866, 2006, 2022, 2037, 2054, 2055, 2074, 2163, 2222, 2233, 2266, 2454, 2555, 2639, 2666, 2678, 2877, 3009, 3054, 3055, 3081, 3111, 3266, 3333, 3399, 3451, 3857, 3999, 4066, 4090, 4199, 4254, 4277, 4669, 4854, 4866, 4899, 5015, 5037, 5055, 5066, 5090, 5135, 5185, 5466, 5555, 5866, 6054, 6099, 6266, 6293, 6466, 7021, 7077, 7090, 7189, 7259, 7599, 7777, 8018, 8074, 8090, 8099, 8666, 8799, 9399, 9499, 9699, 10011, 10054, 10090, 10222, 11033, 11037, 11297, 11407, 12018, 12027, 12111, 12162, 12666, 12999, 13039, 13481, 14018, 14074, 14126, 14222, 15081, 15135, 15333, 16027, 16037, 16054, 16666, 17459, 18074, 18222, 19057, 19513, 19703, 20006, 20009, 20030, 20033, 20045, 20054, 20066, 20185, 20270, 20909, 20999, 21027, 21111, 21189, 21333, 22198, 22222, 22666, 23037, 23069, 23621, 23851, 24081, 24162, 24666, 24999, 25135, 25555, 26054, 26222, 26234, 26666, 27111, 28042, 28063, 28074, 28222, 28259, 28378, 28666, 29087, 29783, 30009, 30045, 30054, 30074, 30081, 30099, 30370, 30405, 31093, 31837, 32037, 32333, 33297, 33333, 33999, 34111, 34222, 34306, 34333, 35045, 35185, 35189, 35315, 35555, 35777, 36074, 36222, 37111, 37999, 38054, 38222, 38342, 39081, 39333, 39351, 39999, 40006, 40054, 40074, 40135, 40198, 40270, 40606, 41123, 42063, 42074, 42162, 42333, 42518, 42567, 42999, 43129, 44066, 44099, 44594, 44666, 45111, 45185, 45555, 46414, 47141, 47333, 48054, 48666, 49063, 49259, 49777, 50015, 50054, 50090, 50099, 50135, 50165, 50303, 51333, 51459, 52054, 52078, 52117, 52481, 52666, 52702, 53159, 53333, 54074, 54111, 55495, 55555, 56189, 56378, 56666, 57081, 57333, 57513, 58074, 58222, 58522, 60009, 60054, 60081, 60202, 60222, 60297, 60370, 60405, 60594, 60666, 60909, 61183, 61818, 61999.

Some larger examples :