3 × 72 × 43 × 5419
1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 5419, 6321, 16257, 37933, 113799, 233017, 265531, 699051, 796593, 1631119, 4893357, 11417833 and 34253499
No.
Its nearest Fibonacci number neighbors are 24157817 and 39088169.