2 × 112 × 31 × 79
1, 2, 11, 22, 31, 62, 79, 121, 158, 242, 341, 682, 869, 1738, 2449, 3751, 4898, 7502, 9559, 19118, 26939, 53878, 296329 and 592658
No.
Its nearest Fibonacci number neighbors are 514229 and 832040.