2 × 11 × 172 × 137
1, 2, 11, 17, 22, 34, 137, 187, 274, 289, 374, 578, 1507, 2329, 3014, 3179, 4658, 6358, 25619, 39593, 51238, 79186, 435523 and 871046
No.
Its nearest Fibonacci number neighbors are 832040 and 1346269.