23 × 17 × 53 × 109
1, 2, 4, 8, 17, 34, 53, 68, 106, 109, 136, 212, 218, 424, 436, 872, 901, 1802, 1853, 3604, 3706, 5777, 7208, 7412, 11554, 14824, 23108, 46216, 98209, 196418, 392836 and 785672
No.
Its nearest Fibonacci number neighbors are 514229 and 832040.