537633 has 24 divisors (see below), whose sum is σ = 838656. Its totient is φ = 331200.

The previous prime is 537611. The next prime is 537637. The reversal of 537633 is 336735.

It is not a de Polignac number, because 537633 - 2⁶ = 537569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 537597 and 537606.

It is not an unprimeable number, because it can be changed into a prime (537637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11416 + ... + 11462.

It is an arithmetic number, because the mean of its divisors is an integer number (34944).

2⁵³⁷⁶³³ is an apocalyptic number.

It is an amenable number.

537633 is a deficient number, since it is larger than the sum of its proper divisors (301023).

537633 is a wasteful number, since it uses less digits than its factorization.

537633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 122 counting only the distinct ones).

The product of its digits is 5670, while the sum is 27.

The square root of 537633 is about 733.2346145675. The cubic root of 537633 is about 81.3133722552.

The spelling of 537633 in words is "five hundred thirty-seven thousand, six hundred thirty-three".