4297

4297 is a natural number that follows 4296 and precedes 4298. It is a four-digit integer commonly encountered in basic arithmetic and number theory contexts.

4297 is a prime number, meaning it has no positive divisors other than 1 and itself. A divisibility check against primes up to the square root of 4297 (approximately 65) yields no factors, confirming its primality. As a result, its only factorization in integers is 1 × 4297.

Because 4297 is congruent to 1 modulo 4, it can be expressed as a sum of two squares. One such representation is 4297 = 61^2 + 24^2. For primes, representations as a sum of two squares are unique up to order and sign, so 61 and 24 are the only positive integers (up to order) that satisfy this identity.

Other simple properties include its digital root, which is 4 (the sum of digits is 4 + 2 + 9 + 7 = 22, and 2 + 2 = 4). It is also odd and not divisible by 2, 3, or 5, with 4297 mod 8 equal to 1.

In summary, 4297 is a prime four-digit number with a notable sum-of-squares representation and standard basic numeric properties typical of integers used in elementary number theory.