2 × 3 × 11 × 13 × 23
1, 2, 3, 6, 11, 13, 22, 23, 26, 33, 39, 46, 66, 69, 78, 138, 143, 253, 286, 299, 429, 506, 598, 759, 858, 897, 1518, 1794, 3289, 6578, 9867 and 19734
No.
Its nearest Fibonacci number neighbors are 17711 and 28657.