A082947 Palindromes not divisible by any of their digits.

323, 343, 353, 373, 383, 434, 454, 474, 494, 646, 656, 676, 686, 727, 737, 747, 757, 767, 787, 797, 838, 858, 868, 878, 898, 929, 949, 959, 969, 979, 989, 3223, 3443, 3553, 3883, 4334, 4554, 4994, 6446, 6556, 6886, 7227, 7337, 7447, 7557, 7667, 7887, 7997