585152 has 28 divisors (see below), whose sum is σ = 1194816. Its totient is φ = 284160.

The previous prime is 585149. The next prime is 585163. The reversal of 585152 is 251585.

It is a plaindrome 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 585152.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2513 + ... + 2735.

It is an arithmetic number, because the mean of its divisors is an integer number (42672).

2⁵⁸⁵¹⁵² 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 585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597408).

585152 is an abundant number, since it is smaller than the sum of its proper divisors (609664).

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

585152 is a wasteful number, since it uses less digits than its factorization.

585152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its digits is 2000, while the sum is 26.

The square root of 585152 is about 764.9522860937. The cubic root of 585152 is about 83.6417090013.

It can be divided in two parts, 585 and 152, that added together give a palindrome (737).

The spelling of 585152 in words is "five hundred eighty-five thousand, one hundred fifty-two".