37625 has 16 divisors (see below), whose sum is σ = 54912. Its totient is φ = 25200.

The previous prime is 37619. The next prime is 37633. The reversal of 37625 is 52673.

37625 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 37625 - 2⁶ = 37561 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37625.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854 + ... + 896.

It is an arithmetic number, because the mean of its divisors is an integer number (3432).

2³⁷⁶²⁵ is an apocalyptic number.

37625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

37625 is a deficient number, since it is larger than the sum of its proper divisors (17287).

37625 is an equidigital number, since it uses as much as digits as its factorization.

37625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 55 counting only the distinct ones).

The product of its digits is 1260, while the sum is 23.

The square root of 37625 is about 193.9716474127. The cubic root of 37625 is about 33.5087969769.

The spelling of 37625 in words is "thirty-seven thousand, six hundred twenty-five".