22 × 3 × 7 × 17
1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714 and 1428
No.
Its nearest Fibonacci number neighbors are 987 and 1597.