32 × 5 × 13 × 17
1, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315 and 9945
No.
Its nearest Fibonacci number neighbors are 6765 and 10946.