22 × 3 × 7 × 47
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974 and 3948
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.