9715

9715 is a natural number that comes after 9714 and before 9716. In mathematics, it is a composite, square-free integer with prime factorization 9715 = 5 × 29 × 67.

Its divisors are 1, 5, 29, 67, 145, 335, 1943, and 9715, giving a total of eight positive divisors. Being the product of three distinct primes, 9715 is odd and not a prime or a perfect square. The fact that it is square-free means no prime factor appears more than once in its factorization.

Properties relevant to number theory include its Euler totient, φ(9715). Since 9715 = 5 × 29 × 67, φ(9715) = (5−1) × (29−1) × (67−1) = 4 × 28 × 66 = 7392. This reflects the number of integers up to 9715 that are relatively prime to it.

In a broader context, 9715 is often cited as an example of a composite number with exactly eight divisors and three distinct prime factors. It has no widely recognized special significance beyond its arithmetic properties, though it may appear in numerical examples, modular arithmetic demonstrations, or datasets as a representative composite value.