22 × 3 × 7 × 19
1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 76, 84, 114, 133, 228, 266, 399, 532, 798 and 1596
No.
Its nearest Fibonacci number neighbors are 987 and 1597.