7315 has 16 divisors (see below), whose sum is σ = 11520. Its totient is φ = 4320.

The previous prime is 7309. The next prime is 7321. The reversal of 7315 is 5137.

7315 = T₁₄ + T₁₅ + ... + T₃₅.

7315 = 16² + 17² + ... + 29².

7315 is a nontrivial binomial coefficient, being equal to C(22, 4).

It is an interprime number because it is at equal distance from previous prime (7309) and next prime (7321).

It is not a de Polignac number, because 7315 - 2³ = 7307 is a prime.

7315 is a Rhonda number in base 12.

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376 + ... + 394.

It is an arithmetic number, because the mean of its divisors is an integer number (720).

2⁷³¹⁵ is an apocalyptic number.

7315 is the 70-th pentagonal number.

7315 is a deficient number, since it is larger than the sum of its proper divisors (4205).

7315 is a wasteful number, since it uses less digits than its factorization.

7315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42.

The product of its digits is 105, while the sum is 16.

The square root of 7315 is about 85.5277732669. The cubic root of 7315 is about 19.4120518872.

It can be divided in two parts, 731 and 5, that multiplied together give a triangular number (3655 = T₈₅).

The spelling of 7315 in words is "seven thousand, three hundred fifteen".