117664 has 12 divisors (see below), whose sum is σ = 231714. Its totient is φ = 58816.

The previous prime is 117659. The next prime is 117671. The reversal of 117664 is 466711.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 32400 = 292^2 + 180^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1807 + ... + 1870.

117664 is a Friedman number, since it can be written as 7^6+(6-1)*(4-1), using all its digits and the basic arithmetic operations.

2¹¹⁷⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

117664 is a deficient number, since it is larger than the sum of its proper divisors (114050).

117664 is an equidigital number, since it uses as much as digits as its factorization.

117664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3679 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 117664 is about 343.0218651923. The cubic root of 117664 is about 49.0020823771.

The spelling of 117664 in words is "one hundred seventeen thousand, six hundred sixty-four".