2 × 3 × 72 × 73
1, 2, 3, 6, 7, 14, 21, 42, 49, 73, 98, 146, 147, 219, 294, 438, 511, 1022, 1533, 3066, 3577, 7154, 10731 and 21462
No.
Its nearest Fibonacci number neighbors are 17711 and 28657.