37504 has 16 divisors (see below), whose sum is σ = 74970. Its totient is φ = 18688.

The previous prime is 37501. The next prime is 37507. The reversal of 37504 is 40573.

It is an interprime number because it is at equal distance from previous prime (37501) and next prime (37507).

It can be written as a sum of positive squares in only one way, i.e., 23104 + 14400 = 152^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (37501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19 + ... + 274.

2³⁷⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

37504 is a deficient number, since it is larger than the sum of its proper divisors (37466).

37504 is an equidigital number, since it uses as much as digits as its factorization.

37504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 37504 is about 193.6594949906. The cubic root of 37504 is about 33.4728375648.

The spelling of 37504 in words is "thirty-seven thousand, five hundred four".