6097 = 7 x 13 x 67. It is the product of three distinct non-Sophie Germain primes (A157347) and the product of three distinct primes of the form 6n + 1 (A154729).
6097 is a hexagonal prism number (A005915).
6097 is an alternating sum of decreasing powers (A083327).
6097 is the half-sum (or average) of the cubes of two distinct odd primes (A138855).
6097 divides 293 - 1.
Source: What's Special About This Number?