38131 has 4 divisors (see below), whose sum is σ = 40392. Its totient is φ = 35872.

The previous prime is 38119. The next prime is 38149. The reversal of 38131 is 13183.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 38131 - 2⁹ = 37619 is a prime.

It is a super-2 number, since 2×38131² = 2907946322, which contains 22 as substring.

It is an Ulam number.

38131 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (38231) 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, 1105 + ... + 1138.

It is an arithmetic number, because the mean of its divisors is an integer number (10098).

2³⁸¹³¹ is an apocalyptic number.

38131 is the 124-th centered pentagonal number.

38131 is a deficient number, since it is larger than the sum of its proper divisors (2261).

38131 is a wasteful number, since it uses less digits than its factorization.

38131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260.

The product of its digits is 72, while the sum is 16.

The square root of 38131 is about 195.2716057188. The cubic root of 38131 is about 33.6583429847.

It can be divided in two parts, 381 and 31, that multiplied together give a palindrome (11811).

The spelling of 38131 in words is "thirty-eight thousand, one hundred thirty-one".