22 × 33 × 73
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 108, 146, 219, 292, 438, 657, 876, 1314, 1971, 2628, 3942 and 7884
No.
Its nearest Fibonacci number neighbors are 6765 and 10946.