37521 has 12 divisors (see below), whose sum is σ = 59280. Its totient is φ = 22680.

The previous prime is 37517. The next prime is 37529. The reversal of 37521 is 12573.

It is not a de Polignac number, because 37521 - 2² = 37517 is a prime.

37521 is a lucky number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 37494 and 37503.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37521.

It is not an unprimeable number, because it can be changed into a prime (37529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91 + ... + 288.

It is an arithmetic number, because the mean of its divisors is an integer number (4940).

2³⁷⁵²¹ is an apocalyptic number.

It is an amenable number.

37521 is a deficient number, since it is larger than the sum of its proper divisors (21759).

37521 is a wasteful number, since it uses less digits than its factorization.

37521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 393 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 37521 is about 193.7033814883. The cubic root of 37521 is about 33.4778943790.

It can be divided in two parts, 375 and 21, that multiplied together give a triangular number (7875 = T₁₂₅).

The spelling of 37521 in words is "thirty-seven thousand, five hundred twenty-one".