585409 has 8 divisors (see below), whose sum is σ = 672480. Its totient is φ = 504000.

The previous prime is 585391. The next prime is 585413. The reversal of 585409 is 904585.

585409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 585409 - 2⁹ = 584897 is a prime.

It is an Ulam number.

It is a Duffinian number.

585409 is a lucky number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (580409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1192 + ... + 1609.

It is an arithmetic number, because the mean of its divisors is an integer number (84060).

2⁵⁸⁵⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

585409 is a deficient number, since it is larger than the sum of its proper divisors (87071).

585409 is a wasteful number, since it uses less digits than its factorization.

585409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831.

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 585409 is about 765.1202519866. The cubic root of 585409 is about 83.6539524144.

The spelling of 585409 in words is "five hundred eighty-five thousand, four hundred nine".