37525 has 12 divisors (see below), whose sum is σ = 49600. Its totient is φ = 28080.

The previous prime is 37517. The next prime is 37529. The reversal of 37525 is 52573.

It is not a de Polignac number, because 37525 - 2³ = 37517 is a prime.

It is an Ulam number.

It is a plaindrome in base 8.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 37496 and 37505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37529) 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 11 ways as a sum of consecutive naturals, for example, 436 + ... + 514.

2³⁷⁵²⁵ is an apocalyptic number.

It is an amenable number.

37525 is a deficient number, since it is larger than the sum of its proper divisors (12075).

37525 is a wasteful number, since it uses less digits than its factorization.

37525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 103 counting only the distinct ones).

The product of its digits is 1050, while the sum is 22.

The square root of 37525 is about 193.7137062781. The cubic root of 37525 is about 33.4790839957.

It can be divided in two parts, 375 and 25, that added together give a square (400 = 20²).

The spelling of 37525 in words is "thirty-seven thousand, five hundred twenty-five".