537824 has 36 divisors (see below), whose sum is σ = 1235304. Its totient is φ = 230496.

The previous prime is 537811. The next prime is 537841. The reversal of 537824 is 428735.

It is a happy number.

It is a perfect power (a 5-th power), and thus also a powerful number.

537824 is nontrivially palindromic in base 13.

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

537824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 76829 + ... + 76835.

It is an arithmetic number, because the mean of its divisors is an integer number (34314).

537824 is a Friedman number, since it can be written as (8+7+4-3-2)^5, using all its digits and the basic arithmetic operations.

2⁵³⁷⁸²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617652).

537824 is an abundant number, since it is smaller than the sum of its proper divisors (697480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

537824 is an frugal number, since it uses more digits than its factorization.

537824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 9 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 537824 is about 733.3648478077. The cubic root of 537824 is about 81.3230002699.

The spelling of 537824 in words is "five hundred thirty-seven thousand, eight hundred twenty-four".