2 × 32 × 11 × 113
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 113, 198, 226, 339, 678, 1017, 1243, 2034, 2486, 3729, 7458, 11187 and 22374
No.
Its nearest Fibonacci number neighbors are 17711 and 28657.