25 × 3 × 23
1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104 and 2208
No.
Its nearest Fibonacci number neighbors are 1597 and 2584.