2 × 32 × 19 × 61
1, 2, 3, 6, 9, 18, 19, 38, 57, 61, 114, 122, 171, 183, 342, 366, 549, 1098, 1159, 2318, 3477, 6954, 10431 and 20862
No.
Its nearest Fibonacci number neighbors are 17711 and 28657.