7 × 11 × 17 × 23 × 73
1, 7, 11, 17, 23, 73, 77, 119, 161, 187, 253, 391, 511, 803, 1241, 1309, 1679, 1771, 2737, 4301, 5621, 8687, 11753, 13651, 18469, 28543, 30107, 95557, 129283, 199801, 313973 and 2197811
No.
Its nearest Fibonacci number neighbors are 2178309 and 3524578.