9315 has 20 divisors (see below), whose sum is σ = 17424. Its totient is φ = 4752.

The previous prime is 9311. The next prime is 9319. The reversal of 9315 is 5139.

9315 = 8² + 9² + ... + 30².

It is an interprime number because it is at equal distance from previous prime (9311) and next prime (9319).

It is not a de Polignac number, because 9315 - 2² = 9311 is a prime.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is one of the 548 Lynch-Bell numbers.

9315 is a Rhonda number in base 12.

9315 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9315.

It is not an unprimeable number, because it can be changed into a prime (9311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 394 + ... + 416.

2⁹³¹⁵ is an apocalyptic number.

9315 is a deficient number, since it is larger than the sum of its proper divisors (8109).

9315 is a wasteful number, since it uses less digits than its factorization.

9315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 31 counting only the distinct ones).

The product of its digits is 135, while the sum is 18.

The square root of 9315 is about 96.5142476529. The cubic root of 9315 is about 21.0407372505.

Subtracting from 9315 its product of digits (135), we obtain a triangular number (9180 = T₁₃₅).

It can be divided in two parts, 9 and 315, that added together give a square (324 = 18²).

The spelling of 9315 in words is "nine thousand, three hundred fifteen".