5 × 29 × 71 × 141961
1, 5, 29, 71, 145, 355, 2059, 10295, 141961, 709805, 4116869, 10079231, 20584345, 50396155, 292297699 and 1461488495
No.
Its nearest Fibonacci number neighbors are 1134903170 and 1836311903.