113538 has 16 divisors (see below), whose sum is σ = 230400. Its totient is φ = 37296.

The previous prime is 113537. The next prime is 113539. The reversal of 113538 is 835311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113537) and next prime (113539).

It is not an unprimeable number, because it can be changed into a prime (113537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2¹¹³⁵³⁸ is an apocalyptic number.

113538 is an abundant number, since it is smaller than the sum of its proper divisors (116862).

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

113538 is a wasteful number, since it uses less digits than its factorization.

113538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281.

The product of its digits is 360, while the sum is 21.

The square root of 113538 is about 336.9540027956. The cubic root of 113538 is about 48.4224857384.

Adding to 113538 its reverse (835311), we get a palindrome (948849).

The spelling of 113538 in words is "one hundred thirteen thousand, five hundred thirty-eight".