22 × 3 × 7 × 29 × 59
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 59, 84, 87, 116, 118, 174, 177, 203, 236, 348, 354, 406, 413, 609, 708, 812, 826, 1218, 1239, 1652, 1711, 2436, 2478, 3422, 4956, 5133, 6844, 10266, 11977, 20532, 23954, 35931, 47908, 71862 and 143724
No.
Its nearest Fibonacci number neighbors are 121393 and 196418.