8297

8297 is a natural number that follows 8296 and precedes 8298. It is a four-digit integer and, like many such numbers, can appear in various mathematical and real-world contexts.

In mathematics, 8297 is a prime number. Its only positive divisors are 1 and 8297, so it is not divisible by any smaller integers. The digit sum is 26, which implies it is not divisible by 3, and the number is congruent to 1 modulo 4. The square root of 8297 is about 91, so primality is verified by checking divisibility only up to primes less than or equal to 89. As a prime, 8297 has exactly two positive divisors: 1 and itself.

Within the broader study of primes, 8297 is an example of primes in the 8000s range and may be used in discussions of primality tests, modular arithmetic, or the distribution of primes. While it has no widely known special mathematical significance beyond its primality, it contributes to the overall landscape of prime numbers used in theoretical and educational contexts.

Outside of pure mathematics, 8297 may function as a catalog, identification, or serial number in various systems. Like many four-digit numbers, its principal role is typically as a label rather than a value with intrinsic meaning. There is no widely recognized constant, theorem, or widely referenced object uniquely associated with the number 8297.