117504 has 72 divisors (see below), whose sum is σ = 367920. Its totient is φ = 36864.

The previous prime is 117503. The next prime is 117511. The reversal of 117504 is 405711.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (117503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6904 + ... + 6920.

It is an arithmetic number, because the mean of its divisors is an integer number (5110).

2¹¹⁷⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183960).

117504 is an abundant number, since it is smaller than the sum of its proper divisors (250416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117504 is an equidigital number, since it uses as much as digits as its factorization.

117504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 117504 is about 342.7885645701. The cubic root of 117504 is about 48.9798612230.

The spelling of 117504 in words is "one hundred seventeen thousand, five hundred four".