32 × 5 × 13 × 6653
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585, 6653, 19959, 33265, 59877, 86489, 99795, 259467, 299385, 432445, 778401, 1297335 and 3892005
No.
Its nearest Fibonacci number neighbors are 3524578 and 5702887.