2 × 3 × 72 × 11
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617 and 3234
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.