2 × 72 × 11 × 181
1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 181, 362, 539, 1078, 1267, 1991, 2534, 3982, 8869, 13937, 17738, 27874, 97559 and 195118
No.
Its nearest Fibonacci number neighbors are 121393 and 196418.