532584 has 48 divisors (see below), whose sum is σ = 1556100. Its totient is φ = 163584.

The previous prime is 532561. The next prime is 532601. The reversal of 532584 is 485235.

It can be written as a sum of positive squares in 2 ways, for example, as 459684 + 72900 = 678^2 + 270^2 .

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 532584.

It is an unprimeable number.

532584 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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652 + ... + 1220.

2⁵³²⁵⁸⁴ 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 532584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778050).

532584 is an abundant number, since it is smaller than the sum of its proper divisors (1023516).

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

532584 is a wasteful number, since it uses less digits than its factorization.

532584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 587 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 532584 is about 729.7835295483. The cubic root of 532584 is about 81.0580288340.

The spelling of 532584 in words is "five hundred thirty-two thousand, five hundred eighty-four".