3 × 7 × 11 × 41 × 2161
1, 3, 7, 11, 21, 33, 41, 77, 123, 231, 287, 451, 861, 1353, 2161, 3157, 6483, 9471, 15127, 23771, 45381, 71313, 88601, 166397, 265803, 499191, 620207, 974611, 1860621, 2923833, 6822277 and 20466831
No.
Its nearest Fibonacci number neighbors are 14930352 and 24157817.