585313 has 2 divisors, whose sum is σ = 585314. Its totient is φ = 585312.

The previous prime is 585289. The next prime is 585317. The reversal of 585313 is 313585.

It is a happy number.

585313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 431649 + 153664 = 657^2 + 392^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-585313 is a prime.

585313 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (585317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 292656 + 292657.

It is an arithmetic number, because the mean of its divisors is an integer number (292657).

2⁵⁸⁵³¹³ is an apocalyptic number.

It is an amenable number.

585313 is a deficient number, since it is larger than the sum of its proper divisors (1).

585313 is an equidigital number, since it uses as much as digits as its factorization.

585313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1800, while the sum is 25.

The square root of 585313 is about 765.0575141779. The cubic root of 585313 is about 83.6493794187.

Adding to 585313 its reverse (313585), we get a palindrome (898898).

It can be divided in two parts, 585 and 313, that added together give a palindrome (898).

The spelling of 585313 in words is "five hundred eighty-five thousand, three hundred thirteen".