117936 has 100 divisors (see below), whose sum is σ = 420112. Its totient is φ = 31104.

The previous prime is 117917. The next prime is 117937. The reversal of 117936 is 639711.

117936 is nontrivially palindromic in base 5.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (117937) by changing a digit.

117936 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 19 ways as a sum of consecutive naturals, for example, 9066 + ... + 9078.

117936 is a Friedman number, since it can be written as 91*6^(7-3*1), using all its digits and the basic arithmetic operations.

2¹¹⁷⁹³⁶ is an apocalyptic number.

117936 is a gapful number since it is divisible by the number (16) 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 117936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210056).

117936 is an abundant number, since it is smaller than the sum of its proper divisors (302176).

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

117936 is a wasteful number, since it uses less digits than its factorization.

117936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 25 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 117936 is about 343.4181125101. The cubic root of 117936 is about 49.0398121534.

The spelling of 117936 in words is "one hundred seventeen thousand, nine hundred thirty-six".