37838013 has 16 divisors (see below), whose sum is σ = 54070656. Its totient is φ = 23474880.

The previous prime is 37837993. The next prime is 37838027. The reversal of 37838013 is 31083873.

37838013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 37838013 - 2⁵ = 37837981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37838113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4858 + ... + 9963.

It is an arithmetic number, because the mean of its divisors is an integer number (3379416).

Almost surely, 2^37838013 is an apocalyptic number.

It is an amenable number.

37838013 is a deficient number, since it is larger than the sum of its proper divisors (16232643).

37838013 is a wasteful number, since it uses less digits than its factorization.

37838013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14884.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 37838013 is about 6151.2610902156. The cubic root of 37838013 is about 335.7191442010.

The spelling of 37838013 in words is "thirty-seven million, eight hundred thirty-eight thousand, thirteen".