25 × 3 × 73 × 97
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 97, 146, 194, 219, 291, 292, 388, 438, 582, 584, 776, 876, 1164, 1168, 1552, 1752, 2328, 2336, 3104, 3504, 4656, 7008, 7081, 9312, 14162, 21243, 28324, 42486, 56648, 84972, 113296, 169944, 226592, 339888 and 679776
No.
Its nearest Fibonacci number neighbors are 514229 and 832040.