528084 has 18 divisors (see below), whose sum is σ = 1334970. Its totient is φ = 176016.

The previous prime is 528053. The next prime is 528091. The reversal of 528084 is 480825.

It can be written as a sum of positive squares in only one way, i.e., 476100 + 51984 = 690^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×528084² = 557745422112, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528084.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7299 + ... + 7370.

It is an arithmetic number, because the mean of its divisors is an integer number (74165).

2⁵²⁸⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

528084 is an abundant number, since it is smaller than the sum of its proper divisors (806886).

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

528084 is a wasteful number, since it uses less digits than its factorization.

528084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14679 (or 14674 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 528084 is about 726.6938832824. The cubic root of 528084 is about 80.8290863488.

The spelling of 528084 in words is "five hundred twenty-eight thousand, eighty-four".