117315 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 56160.

The previous prime is 117307. The next prime is 117319. The reversal of 117315 is 513711.

117315 = T₁₀ + T₁₁ + ... + T₈₈.

It is a happy number.

It is not a de Polignac number, because 117315 - 2³ = 117307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (117319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1446 + ... + 1524.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2¹¹⁷³¹⁵ is an apocalyptic number.

117315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

117315 is a deficient number, since it is larger than the sum of its proper divisors (113085).

117315 is a wasteful number, since it uses less digits than its factorization.

117315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its digits is 105, while the sum is 18.

The square root of 117315 is about 342.5127734844. The cubic root of 117315 is about 48.9535864821.

The spelling of 117315 in words is "one hundred seventeen thousand, three hundred fifteen".