585828 has 18 divisors (see below), whose sum is σ = 1480934. Its totient is φ = 195264.

The previous prime is 585799. The next prime is 585839. The reversal of 585828 is 828585.

It can be written as a sum of positive squares in only one way, i.e., 580644 + 5184 = 762^2 + 72^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 16273 = 585828 / (5 + 8 + 5 + 8 + 2 + 8).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 585792 and 585801.

It is an unprimeable number.

585828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8101 + ... + 8172.

2⁵⁸⁵⁸²⁸ is an apocalyptic number.

It is an amenable number.

585828 is an abundant number, since it is smaller than the sum of its proper divisors (895106).

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

585828 is a wasteful number, since it uses less digits than its factorization.

585828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16283 (or 16278 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 585828 is about 765.3940161773. The cubic root of 585828 is about 83.6739057843.

It can be divided in two parts, 5858 and 28, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 585828 in words is "five hundred eighty-five thousand, eight hundred twenty-eight".