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deficient n.  and  frugal n.

First numbers that belong to both sets:

125, 128, 243, 256, 343, 512, 625, 729, 1024, 1029, 1215, 1250, 1331, 1369, 1681, 1701, 1715, 1849, 1875, 2048, 2187, 2197, 2209, 2401, 2809, 3125, 3481, 3645, 3721, 4096, 4375, 4489, 4802, 4913, 5041, 5103, 5329, 6241, 6250, 6561, 6859, 6889, 7203, 7921, 8192, 9375, 9409, 10082, 10125, 10201, 10375, 10443, 10449, 10609, 10625, 10633, 10658, 10935, 10985, 11045, 11125, 11163, 11421, 11449, 11767, 11875, 11881, 11907, 12005, 12125, 12167, 12393, 12482, 12691, 12769, 12879, 12943, 13125, 13467, 13718, 13778, 13851, 14045, 14063, 14337, 14375, 14641, 14739, 14749, 14823, 15123, 15309, 15379, 15463, 15625, 15842, 15987, 16121, 16129, 16281, 16384, 16767, 16807, 16875, 17161, 17253, 17405, 17739, 18125, 18179, 18225, 18605, 18723, 18769, 18818, 19197, 19321, 19375, 19663, 19683, 20169, 20237, 20577, 20667, 20923, 21141, 21609, 21627, 21875, 22201, 22445, 22599, 22801, 22981, 23125, 23571, 23763, 24057, 24334, 24353, 24367, 24389, 24565, 24649, 25039, 25205, 25625, 26047, 26411, 26569, 26645, 26875, 26973, 27097, 27783, 27889, 28125, 28227, 28431, 28469, 28561, 29282, 29375, 29791, 29889, 29929, 30375, 30527, 30625, 31205, 31213, 31250, 31347, 31423, 32041, 32761, 32768, 32805, 33125, 33271, 33614, 34263, 34295, 34375, 34391, 34445, 35287, 35721, 36015, 36481, 36501, 36875, 37179, 37249, 37303, 38125, 38637, 38809, 39601, 39605, 40625, 40817, 41553, 41875, 42875, 43011, 43687, 43923, 44375, 44469, 44521, 45619, 45625, 45927, 46875, 47045, 48013, 48223, 48778, 48843, 49375, 49729, 50301, 50421, 50625, 50653, 51529, 51759, 51875, 52441, 53125, 53217, 54289, 54675, 55223, 55447, 55625, 57121, 57122, 57591, 58081, 59049, 59375, 59582, 60025, 60507, 60625, 60835, 63001, 63423, 64827, 64881, 65536, 65625, 65863, 66049, 67797, 68921, 69169, 69629, 70713, 71875, 72171, 72361, 73167, 73205, 73441, 74431, 76729, 78125, 78961, 79507, 80089, 80919, 83349, 83521, 84035, 84375, 85169, 85293.

Some larger examples :