2 × 3 × 52 × 7
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525 and 1050
No.
Its nearest Fibonacci number neighbors are 987 and 1597.