117983232 has 144 divisors (see below), whose sum is σ = 351989820. Its totient is φ = 38043648.

The previous prime is 117983219. The next prime is 117983249. The reversal of 117983232 is 232389711.

It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 23970816 = 9696^2 + 4896^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 681898 + ... + 682070.

Almost surely, 2^117983232 is an apocalyptic number.

117983232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175994910).

117983232 is an abundant number, since it is smaller than the sum of its proper divisors (234006588).

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

117983232 is a wasteful number, since it uses less digits than its factorization.

117983232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 215 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 117983232 is about 10862.0086540198. The cubic root of 117983232 is about 490.4635790493.

The spelling of 117983232 in words is "one hundred seventeen million, nine hundred eighty-three thousand, two hundred thirty-two".