22 × 3 × 7 × 41
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722 and 3444
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.