2 × 32 × 11 × 13
1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 198, 234, 286, 429, 858, 1287 and 2574
No.
Its nearest Fibonacci number neighbors are 1597 and 2584.