113637 has 4 divisors (see below), whose sum is σ = 151520. Its totient is φ = 75756.

The previous prime is 113623. The next prime is 113647. The reversal of 113637 is 736311.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 736311 = 3 ⋅245437.

It is not a de Polignac number, because 113637 - 2⁴ = 113621 is a prime.

It is a D-number.

It is a Duffinian number.

113637 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113637.

It is not an unprimeable number, because it can be changed into a prime (113647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18937 + ... + 18942.

It is an arithmetic number, because the mean of its divisors is an integer number (37880).

2¹¹³⁶³⁷ is an apocalyptic number.

It is an amenable number.

113637 is a deficient number, since it is larger than the sum of its proper divisors (37883).

113637 is an equidigital number, since it uses as much as digits as its factorization.

113637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37882.

The product of its digits is 378, while the sum is 21.

The square root of 113637 is about 337.1008751101. The cubic root of 113637 is about 48.4365557221.

Adding to 113637 its reverse (736311), we get a palindrome (849948).

The spelling of 113637 in words is "one hundred thirteen thousand, six hundred thirty-seven".