3 × 29 × 281 × 14503
1, 3, 29, 87, 281, 843, 8149, 14503, 24447, 43509, 420587, 1261761, 4075343, 12226029, 118184947 and 354554841
No.
Its nearest Fibonacci number neighbors are 267914296 and 433494437.