3 × 67 × 1597 × 3571
1, 3, 67, 201, 1597, 3571, 4791, 10713, 106999, 239257, 320997, 717771, 5702887, 17108661, 382093429 and 1146280287
No.
Its nearest Fibonacci number neighbors are 1134903170 and 1836311903.