37864 has 8 divisors (see below), whose sum is σ = 71010. Its totient is φ = 18928.

The previous prime is 37861. The next prime is 37871. The reversal of 37864 is 46873.

37864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 36100 + 1764 = 190^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (37861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2359 + ... + 2374.

2³⁷⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

37864 is a deficient number, since it is larger than the sum of its proper divisors (33146).

37864 is a wasteful number, since it uses less digits than its factorization.

37864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739 (or 4735 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 37864 is about 194.5867415833. The cubic root of 37864 is about 33.5795983480.

Subtracting 37864 from its reverse (46873), we obtain a palindrome (9009).

The spelling of 37864 in words is "thirty-seven thousand, eight hundred sixty-four".