23 × 11 × 31 × 521
1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 521, 682, 1042, 1364, 2084, 2728, 4168, 5731, 11462, 16151, 22924, 32302, 45848, 64604, 129208, 177661, 355322, 710644 and 1421288
No.
Its nearest Fibonacci number neighbors are 1346269 and 2178309.