37113 has 8 divisors (see below), whose sum is σ = 50400. Its totient is φ = 24288.

The previous prime is 37097. The next prime is 37117. The reversal of 37113 is 31173.

37113 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 37113 - 2⁴ = 37097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37092 and 37101.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37113.

It is not an unprimeable number, because it can be changed into a prime (37117) 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, 198 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2³⁷¹¹³ is an apocalyptic number.

It is an amenable number.

37113 is a deficient number, since it is larger than the sum of its proper divisors (13287).

37113 is a wasteful number, since it uses less digits than its factorization.

37113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231.

The product of its digits is 63, while the sum is 15.

The square root of 37113 is about 192.6473462054. The cubic root of 37113 is about 33.3561066599.

Adding to 37113 its sum of digits (15), we get a triangular number (37128 = T₂₇₂).

Adding to 37113 its reverse (31173), we get a palindrome (68286).

The spelling of 37113 in words is "thirty-seven thousand, one hundred thirteen".