2 × 32 × 17 × 61
1, 2, 3, 6, 9, 17, 18, 34, 51, 61, 102, 122, 153, 183, 306, 366, 549, 1037, 1098, 2074, 3111, 6222, 9333 and 18666
No.
Its nearest Fibonacci number neighbors are 17711 and 28657.