2 × 32 × 7 × 11
1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693 and 1386
No.
Its nearest Fibonacci number neighbors are 987 and 1597.