37564 has 6 divisors (see below), whose sum is σ = 65744. Its totient is φ = 18780.

The previous prime is 37561. The next prime is 37567. The reversal of 37564 is 46573.

37564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (37561) and next prime (37567).

It is a super-2 number, since 2×37564² = 2822108192, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4692 + ... + 4699.

2³⁷⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

37564 is a deficient number, since it is larger than the sum of its proper divisors (28180).

37564 is a wasteful number, since it uses less digits than its factorization.

37564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9395 (or 9393 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 37564 is about 193.8143441544. The cubic root of 37564 is about 33.4906783301.

Subtracting 37564 from its reverse (46573), we obtain a palindrome (9009).

The spelling of 37564 in words is "thirty-seven thousand, five hundred sixty-four".