585413 has 2 divisors, whose sum is σ = 585414. Its totient is φ = 585412.

The previous prime is 585391. The next prime is 585437. The reversal of 585413 is 314585.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 494209 + 91204 = 703^2 + 302^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-585413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (585443) 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, 292706 + 292707.

It is an arithmetic number, because the mean of its divisors is an integer number (292707).

2⁵⁸⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

585413 is a deficient number, since it is larger than the sum of its proper divisors (1).

585413 is an equidigital number, since it uses as much as digits as its factorization.

585413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2400, while the sum is 26.

The square root of 585413 is about 765.1228659503. The cubic root of 585413 is about 83.6541429450.

Adding to 585413 its reverse (314585), we get a palindrome (899998).

The spelling of 585413 in words is "five hundred eighty-five thousand, four hundred thirteen".