22 × 3 × 11 × 73
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 73, 132, 146, 219, 292, 438, 803, 876, 1606, 2409, 3212, 4818 and 9636
No.
Its nearest Fibonacci number neighbors are 6765 and 10946.