117882 has 32 divisors (see below), whose sum is σ = 273600. Its totient is φ = 37584.

The previous prime is 117881. The next prime is 117883. The reversal of 117882 is 288711.

It is an interprime number because it is at equal distance from previous prime (117881) and next prime (117883).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (117881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1969 + ... + 2027.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2¹¹⁷⁸⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136800).

117882 is an abundant number, since it is smaller than the sum of its proper divisors (155718).

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

117882 is a wasteful number, since it uses less digits than its factorization.

117882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 117882 is about 343.3394821456. The cubic root of 117882 is about 49.0323263019.

Subtracting from 117882 its sum of digits (27), we obtain a triangular number (117855 = T₄₈₅).

It can be divided in two parts, 117 and 882, that added together give a palindrome (999).

The spelling of 117882 in words is "one hundred seventeen thousand, eight hundred eighty-two".