585113 has 2 divisors, whose sum is σ = 585114. Its totient is φ = 585112.

The previous prime is 585107. The next prime is 585119. The reversal of 585113 is 311585.

It is a balanced prime because it is at equal distance from previous prime (585107) and next prime (585119).

It can be written as a sum of positive squares in only one way, i.e., 499849 + 85264 = 707^2 + 292^2 .

It is a cyclic number.

It is not a de Polignac number, because 585113 - 2⁶ = 585049 is a prime.

It is a Chen prime.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (585119) 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, 292556 + 292557.

It is an arithmetic number, because the mean of its divisors is an integer number (292557).

2⁵⁸⁵¹¹³ is an apocalyptic number.

It is an amenable number.

585113 is a deficient number, since it is larger than the sum of its proper divisors (1).

585113 is an equidigital number, since it uses as much as digits as its factorization.

585113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 600, while the sum is 23.

The square root of 585113 is about 764.9267938829. The cubic root of 585113 is about 83.6398507382.

Adding to 585113 its reverse (311585), we get a palindrome (896698).

The spelling of 585113 in words is "five hundred eighty-five thousand, one hundred thirteen".