37490 has 16 divisors (see below), whose sum is σ = 70848. Its totient is φ = 14256.

The previous prime is 37489. The next prime is 37493. The reversal of 37490 is 9473.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37490.

It is not an unprimeable number, because it can be changed into a prime (37493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (4428).

2³⁷⁴⁹⁰ is an apocalyptic number.

37490 is a deficient number, since it is larger than the sum of its proper divisors (33358).

37490 is a wasteful number, since it uses less digits than its factorization.

37490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 37490 is about 193.6233456998. The cubic root of 37490 is about 33.4686719820.

It can be divided in two parts, 374 and 90, that added together give a palindrome (464).

The spelling of 37490 in words is "thirty-seven thousand, four hundred ninety".