23 × 11 × 73 × 97
1, 2, 4, 8, 11, 22, 44, 73, 88, 97, 146, 194, 292, 388, 584, 776, 803, 1067, 1606, 2134, 3212, 4268, 6424, 7081, 8536, 14162, 28324, 56648, 77891, 155782, 311564 and 623128
No.
Its nearest Fibonacci number neighbors are 514229 and 832040.