3 × 72 × 11 × 13 × 37
1, 3, 7, 11, 13, 21, 33, 37, 39, 49, 77, 91, 111, 143, 147, 231, 259, 273, 407, 429, 481, 539, 637, 777, 1001, 1221, 1443, 1617, 1813, 1911, 2849, 3003, 3367, 5291, 5439, 7007, 8547, 10101, 15873, 19943, 21021, 23569, 37037, 59829, 70707, 111111, 259259 and 777777
No.
Its nearest Fibonacci number neighbors are 514229 and 832040.