25 × 3 × 17
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816 and 1632
No.
Its nearest Fibonacci number neighbors are 1597 and 2584.