117632 has 16 divisors (see below), whose sum is σ = 234600. Its totient is φ = 58752.

The previous prime is 117619. The next prime is 117643. The reversal of 117632 is 236711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (16).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

117632 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 332 + ... + 587.

117632 is a Friedman number, since it can be written as 7^(3*2)-11-6, using all its digits and the basic arithmetic operations.

2¹¹⁷⁶³² is an apocalyptic number.

It is an amenable number.

117632 is a deficient number, since it is larger than the sum of its proper divisors (116968).

117632 is an frugal number, since it uses more digits than its factorization.

117632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 921 counting only the distinct ones).

The product of its digits is 252, while the sum is 20.

The square root of 117632 is about 342.9752177636. The cubic root of 117632 is about 48.9976397586.

The spelling of 117632 in words is "one hundred seventeen thousand, six hundred thirty-two".