585348 has 12 divisors (see below), whose sum is σ = 1365840. Its totient is φ = 195112.

The previous prime is 585341. The next prime is 585367. The reversal of 585348 is 843585.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×585348² = 685264562208, which contains 22 as substring.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 585348.

It is not an unprimeable number, because it can be changed into a prime (585341) by changing a digit.

585348 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 3 ways as a sum of consecutive naturals, for example, 24378 + ... + 24401.

It is an arithmetic number, because the mean of its divisors is an integer number (113820).

585348 is a Friedman number, since it can be written as (58^(8-5)+4)*3, using all its digits and the basic arithmetic operations.

2⁵⁸⁵³⁴⁸ is an apocalyptic number.

It is an amenable number.

585348 is an abundant number, since it is smaller than the sum of its proper divisors (780492).

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

585348 is a wasteful number, since it uses less digits than its factorization.

585348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48786 (or 48784 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 585348 is about 765.0803879332. The cubic root of 585348 is about 83.6510467147.

The spelling of 585348 in words is "five hundred eighty-five thousand, three hundred forty-eight".