32937

32937 is a natural number that follows 32936 and precedes 32938. It is an odd, composite integer with a straightforward factorization and a few basic arithmetic properties that illustrate common number-theory concepts.

Its prime factorization is 32937 = 3 × 10979, where 10979 is prime. As a product of two distinct primes, the number has exactly four positive divisors: 1, 3, 10979, and 32937. This makes 32937 a squarefree number (no prime factor appears with a higher power).

In terms of divisibility and modular arithmetic, 32937 is divisible by 3 (the sum of its digits is 24), but it is not divisible by 9 or 5. It is congruent to 1 modulo 4 (32937 ≡ 1 mod 4) and also congruent to 1 modulo 8 (32937 ≡ 1 mod 8). The digit sum also gives a digital root of 6.

Because 32937 has a prime factor 3 that is congruent to 3 modulo 4 with odd exponent, the number cannot be expressed as a sum of two squares. This property follows from a standard result in number theory regarding representations as sums of squares.

Overall, 32937 serves as an example of a composite, squarefree number with a simple two-prime factorization and typical modular characteristics, but it does not correspond to any widely recognized constant or special mathematical object.