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Duffinian n.  and  oban n.

First numbers that belong to both sets:

8, 9, 16, 25, 27, 35, 36, 39, 50, 55, 57, 63, 65, 75, 77, 85, 93, 98, 305, 309, 319, 323, 325, 327, 329, 333, 335, 338, 355, 363, 365, 377, 385, 387, 399, 505, 511, 512, 513, 515, 517, 525, 527, 529, 533, 535, 539, 553, 559, 565, 567, 575, 576, 578, 579, 583, 589, 595, 597, 603, 605, 611, 623, 625, 629, 633, 635, 655, 657, 667, 669, 676, 685, 687, 689, 697, 707, 711, 713, 715, 723, 729, 737, 755, 763, 767, 777, 779, 785, 793, 799, 800, 803, 805, 813, 815, 817, 833, 835, 837, 865, 867, 869, 873, 875, 889, 893, 899, 900, 903, 905, 913, 917, 923, 925, 927, 935, 939, 955, 959, 965, 968, 975, 979, 985, 989, 993, 999.