585315 has 12 divisors (see below), whose sum is σ = 1014624. Its totient is φ = 312144.

The previous prime is 585313. The next prime is 585317. The reversal of 585315 is 513585.

It is an interprime number because it is at equal distance from previous prime (585313) and next prime (585317).

It is not a de Polignac number, because 585315 - 2¹ = 585313 is a prime.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (585313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6459 + ... + 6548.

It is an arithmetic number, because the mean of its divisors is an integer number (84552).

2⁵⁸⁵³¹⁵ is an apocalyptic number.

585315 is a deficient number, since it is larger than the sum of its proper divisors (429309).

585315 is a wasteful number, since it uses less digits than its factorization.

585315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13018 (or 13015 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 585315 is about 765.0588212680. The cubic root of 585315 is about 83.6494746946.

It can be divided in two parts, 585 and 315, that added together give a square (900 = 30²).

The spelling of 585315 in words is "five hundred eighty-five thousand, three hundred fifteen".