585234 has 48 divisors (see below), whose sum is σ = 1421784. Its totient is φ = 172800.

The previous prime is 585217. The next prime is 585251. The reversal of 585234 is 432585.

It is an interprime number because it is at equal distance from previous prime (585217) and next prime (585251).

It can be written as a sum of positive squares in 4 ways, for example, as 88209 + 497025 = 297^2 + 705^2 .

It is an alternating number because its digits alternate between odd and even.

Its product of digits (4800) is a multiple of the sum of its prime divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 585198 and 585207.

It is an unprimeable number.

585234 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 23 ways as a sum of consecutive naturals, for example, 9564 + ... + 9624.

2⁵⁸⁵²³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 585234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710892).

585234 is an abundant number, since it is smaller than the sum of its proper divisors (836550).

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

585234 is a wasteful number, since it uses less digits than its factorization.

585234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 120 counting only the distinct ones).

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

The square root of 585234 is about 765.0058823303. The cubic root of 585234 is about 83.6456158493.

It can be divided in two parts, 5852 and 34, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 585234 in words is "five hundred eighty-five thousand, two hundred thirty-four".