32 × 5 × 13 × 29
1, 3, 5, 9, 13, 15, 29, 39, 45, 65, 87, 117, 145, 195, 261, 377, 435, 585, 1131, 1305, 1885, 3393, 5655 and 16965
No.
Its nearest Fibonacci number neighbors are 10946 and 17711.