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katadrome  and  pernicious n.

First numbers that belong to both sets:

3, 5, 6, 7, 9, 10, 20, 21, 31, 40, 41, 42, 50, 52, 61, 62, 65, 70, 72, 73, 74, 76, 80, 81, 82, 84, 87, 91, 93, 94, 96, 97, 98, 310, 320, 321, 410, 421, 431, 520, 521, 530, 532, 541, 542, 620, 631, 632, 640, 641, 642, 651, 653, 654, 710, 721, 731, 740, 743, 750, 752, 761, 762, 764, 810, 820, 830, 832, 841, 842, 850, 852, 861, 862, 865, 871, 872, 875, 920, 930, 932, 941, 942, 950, 953, 954, 961, 962, 964, 971, 973, 974, 976, 981, 982, 985, 986, 3210, 4210, 4321, 5320, 5410, 5421, 5430, 6320, 6410, 6420, 6430, 6520, 6530, 6532, 6541, 6542, 7310, 7321, 7431, 7432, 7521, 7620, 7632, 8210, 8320, 8321, 8420, 8430, 8432, 8510, 8521, 8530, 8532, 8541, 8542, 8610, 8621, 8630, 8641, 8642, 8651, 8653, 8654, 8720, 8730, 8732, 8741, 8742, 8751, 8753, 8754, 8760, 8763, 8765, 9310, 9320, 9410, 9421, 9430, 9520, 9530, 9532, 9540, 9543, 9621, 9632, 9641, 9642, 9650, 9652, 9731, 9740, 9743, 9751, 9752, 9761, 9762, 9764, 9820, 9830, 9841, 9842, 9860, 9863, 9864, 9870, 9872, 9875, 43210, 53210, 54310, 54321, 63210, 64310, 65321, 65420, 65431, 65432, 73210, 74210, 74320, 75320, 75410, 75432, 76310, 76320, 76421, 76541, 76542, 84321, 85320, 85431, 86310, 86321, 86410, 86420, 86530, 86532, 86541, 86542, 87320, 87421, 87432, 87531, 87541, 87542, 87620, 87632, 94210, 94320, 95210, 95421, 96210, 96321, 96431, 96520, 96543, 97431, 97510, 97521, 97531, 97621, 97631, 97641, 97642, 97650, 97652, 98210, 98320, 98421, 98432, 98510, 98521, 98531, 98540, 98620, 98631, 98632, 98640, 98643, 98650, 98652, 98710, 98720, 98730, 98732, 98740, 98752, 98761, 98762, 98764, 653210, 654210, 654320, 743210, 753210, 754210, 754320, 764310, 765210, 765321, 765420, 765432.

Some larger examples :