115938 has 32 divisors (see below), whose sum is σ = 273600. Its totient is φ = 36288.

The previous prime is 115933. The next prime is 115963. The reversal of 115938 is 839511.

115938 is nontrivially palindromic in base 13.

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

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (115931) 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, 970 + ... + 1082.

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

2¹¹⁵⁹³⁸ is an apocalyptic number.

115938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136800).

115938 is an abundant number, since it is smaller than the sum of its proper divisors (157662).

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

115938 is a wasteful number, since it uses less digits than its factorization.

115938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 115938 is about 340.4966960192. The cubic root of 115938 is about 48.7612991561.

The spelling of 115938 in words is "one hundred fifteen thousand, nine hundred thirty-eight".