3 × 74 × 11 × 73
1, 3, 7, 11, 21, 33, 49, 73, 77, 147, 219, 231, 343, 511, 539, 803, 1029, 1533, 1617, 2401, 2409, 3577, 3773, 5621, 7203, 10731, 11319, 16863, 25039, 26411, 39347, 75117, 79233, 118041, 175273, 275429, 525819, 826287, 1928003 and 5784009
No.
Its nearest Fibonacci number neighbors are 5702887 and 9227465.