113937 has 8 divisors (see below), whose sum is σ = 153504. Its totient is φ = 75168.

The previous prime is 113933. The next prime is 113947. The reversal of 113937 is 739311.

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

It is not a de Polignac number, because 113937 - 2² = 113933 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113937.

It is not an unprimeable number, because it can be changed into a prime (113933) 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, 373 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (19188).

2¹¹³⁹³⁷ is an apocalyptic number.

It is an amenable number.

113937 is a deficient number, since it is larger than the sum of its proper divisors (39567).

113937 is a wasteful number, since it uses less digits than its factorization.

113937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399.

The product of its digits is 567, while the sum is 24.

The square root of 113937 is about 337.5455524814. The cubic root of 113937 is about 48.4791421985.

It can be divided in two parts, 1139 and 37, that added together give a triangular number (1176 = T₄₈).

The spelling of 113937 in words is "one hundred thirteen thousand, nine hundred thirty-seven".