3 × 72 × 13 × 14503
1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 637, 1911, 14503, 43509, 101521, 188539, 304563, 565617, 710647, 1319773, 2131941, 3959319, 9238411 and 27715233
No.
Its nearest Fibonacci number neighbors are 24157817 and 39088169.