2 × 32 × 11 × 17
1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683 and 3366
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.