33 × 7 × 112
1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 121, 189, 231, 297, 363, 693, 847, 1089, 2079, 2541, 3267, 7623 and 22869
No.
Its nearest Fibonacci number neighbors are 17711 and 28657.