537084 has 24 divisors (see below), whose sum is σ = 1392720. Its totient is φ = 178992.

The previous prime is 537079. The next prime is 537091. The reversal of 537084 is 480735.

537084 = 38² + 39² + ... + 118².

537084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2379 + ... + 2594.

It is an arithmetic number, because the mean of its divisors is an integer number (58030).

2⁵³⁷⁰⁸⁴ is an apocalyptic number.

537084 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

537084 is an abundant number, since it is smaller than the sum of its proper divisors (855636).

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

537084 is a wasteful number, since it uses less digits than its factorization.

537084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 537084 is about 732.8601503698. The cubic root of 537084 is about 81.2856853108.

The spelling of 537084 in words is "five hundred thirty-seven thousand, eighty-four".