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cyclic n.  and  wasteful n.

First numbers that belong to both sets:

33, 51, 65, 69, 77, 85, 87, 91, 95, 143, 187, 209, 221, 247, 255, 299, 303, 319, 321, 323, 339, 341, 345, 377, 391, 393, 403, 407, 411, 435, 437, 447, 451, 455, 473, 481, 493, 501, 515, 517, 519, 527, 533, 535, 537, 545, 551, 559, 561, 565, 573, 583, 589, 591, 595, 611, 629, 635, 649, 665, 667, 671, 681, 685, 695, 697, 699, 703, 705, 707, 713, 717, 721, 731, 745, 749, 753, 763, 767, 771, 779, 781, 785, 789, 793, 795, 799, 803, 805, 807, 815, 817, 835, 843, 851, 865, 869, 871, 879, 885, 893, 895, 899, 901, 913, 917, 923, 933, 943, 949, 951, 957, 959, 965, 973, 985, 989, 995, 1001, 1105, 1111, 1133, 1173, 1177, 1199, 1235, 1243, 1309, 1313, 1339, 1353, 1391, 1397, 1417, 1441, 1463, 1469, 1479, 1495, 1507, 1529, 1547, 1551, 1605, 1615, 1639, 1651, 1661, 1695, 1717, 1727, 1729, 1749, 1781, 1793, 1807, 1819, 1837, 1853, 1885, 1903, 1919, 1921, 1937, 1947, 1955, 1957, 1963, 1969, 1991, 2001, 2033, 2055, 2071, 2091, 2093, 2101, 2119, 2123, 2147, 2159, 2167, 2171, 2185, 2227, 2235, 2249, 2261, 2321, 2323, 2327, 2343, 2353, 2363, 2369, 2387, 2397, 2405, 2413, 2431, 2453, 2461, 2465, 2483, 2489, 2497, 2505, 2507, 2509, 2519, 2533, 2561, 2563, 2567, 2587, 2595, 2599, 2603, 2629, 2641, 2651, 2669, 2685, 2703, 2717, 2737, 2739, 2743, 2755, 2761, 2771, 2795, 2821, 2827, 2829, 2831, 2839, 2849, 2869, 2893, 2899, 2921, 2929, 2941, 2951, 2955, 2959, 2977, 2981, 2983, 2987, 3009, 3013, 3029, 3039, 3043, 3047, 3055, 3057, 3059, 3077, 3091, 3093, 3097, 3103, 3107, 3113, 3131, 3133, 3145, 3147, 3151, 3157, 3161, 3173, 3183, 3193, 3223, 3247, 3263.

Some larger examples :