117864 has 24 divisors (see below), whose sum is σ = 319410. Its totient is φ = 39264.

The previous prime is 117851. The next prime is 117877. The reversal of 117864 is 468711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117851) and next prime (117877).

It can be written as a sum of positive squares in only one way, i.e., 116964 + 900 = 342^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

117864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 747 + ... + 890.

2¹¹⁷⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

117864 is an abundant number, since it is smaller than the sum of its proper divisors (201546).

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

117864 is a wasteful number, since it uses less digits than its factorization.

117864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1642 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 117864 is about 343.3132680221. The cubic root of 117864 is about 49.0298305101.

It can be divided in two parts, 11 and 7864, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 117864 in words is "one hundred seventeen thousand, eight hundred sixty-four".