585104 has 40 divisors (see below), whose sum is σ = 1275960. Its totient is φ = 258048.

The previous prime is 585077. The next prime is 585107. The reversal of 585104 is 401585.

It can be written as a sum of positive squares in 4 ways, for example, as 19600 + 565504 = 140^2 + 752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 585104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 585104.

It is not an unprimeable number, because it can be changed into a prime (585107) by changing a digit.

585104 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 7 ways as a sum of consecutive naturals, for example, 5984 + ... + 6080.

It is an arithmetic number, because the mean of its divisors is an integer number (31899).

2⁵⁸⁵¹⁰⁴ 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 585104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637980).

585104 is an abundant number, since it is smaller than the sum of its proper divisors (690856).

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

585104 is a wasteful number, since it uses less digits than its factorization.

585104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 585104 is about 764.9209109444. The cubic root of 585104 is about 83.6394218965.

Adding to 585104 its reverse (401585), we get a palindrome (986689).

The spelling of 585104 in words is "five hundred eighty-five thousand, one hundred four".