25 × 53
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000 and 4000
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.