A119368 Palindromes whose smallest palindromic proper multiple is the number concatenated with itself.

5, 6, 7, 8, 9, 656, 757, 767, 828, 838, 989, 57275, 58085, 65056, 65356, 65456, 65556, 68086, 69296, 73537, 74447, 75057, 75157, 75557, 76067, 76567, 76667, 79197, 82228, 82328, 82428, 83238, 85058, 86068, 86168, 86568, 87278, 87778, 89098