25 × 3 × 197
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 197, 394, 591, 788, 1182, 1576, 2364, 3152, 4728, 6304, 9456 and 18912
No.
Its nearest Fibonacci number neighbors are 17711 and 28657.