2 × 73 × 11 × 181
1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 181, 343, 362, 539, 686, 1078, 1267, 1991, 2534, 3773, 3982, 7546, 8869, 13937, 17738, 27874, 62083, 97559, 124166, 195118, 682913 and 1365826
No.
Its nearest Fibonacci number neighbors are 1346269 and 2178309.