585317 has 2 divisors, whose sum is σ = 585318. Its totient is φ = 585316.

The previous prime is 585313. The next prime is 585337. The reversal of 585317 is 713585.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 564001 + 21316 = 751^2 + 146^2 .

It is a cyclic number.

It is not a de Polignac number, because 585317 - 2² = 585313 is a prime.

It is a Chen prime.

It is a plaindrome in base 14.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 585317.

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 585317.

It is not a weakly prime, because it can be changed into another 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 as a sum of consecutive naturals, namely, 292658 + 292659.

It is an arithmetic number, because the mean of its divisors is an integer number (292659).

2⁵⁸⁵³¹⁷ is an apocalyptic number.

It is an amenable number.

585317 is a deficient number, since it is larger than the sum of its proper divisors (1).

585317 is an equidigital number, since it uses as much as digits as its factorization.

585317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4200, while the sum is 29.

The square root of 585317 is about 765.0601283559. The cubic root of 585317 is about 83.6495699702.

The spelling of 585317 in words is "five hundred eighty-five thousand, three hundred seventeen".