113838 has 8 divisors (see below), whose sum is σ = 227688. Its totient is φ = 37944.

The previous prime is 113837. The next prime is 113843. The reversal of 113838 is 838311.

It is a sphenic number, since it is the product of 3 distinct primes.

113838 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9481 + ... + 9492.

It is an arithmetic number, because the mean of its divisors is an integer number (28461).

2¹¹³⁸³⁸ is an apocalyptic number.

113838 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

113838 is a wasteful number, since it uses less digits than its factorization.

113838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18978.

The product of its digits is 576, while the sum is 24.

The square root of 113838 is about 337.3988737385. The cubic root of 113838 is about 48.4650969343.

It can be divided in two parts, 1138 and 38, that added together give a triangular number (1176 = T₄₈).

The spelling of 113838 in words is "one hundred thirteen thousand, eight hundred thirty-eight".