585407 has 4 divisors (see below), whose sum is σ = 587016. Its totient is φ = 583800.

The previous prime is 585391. The next prime is 585413. The reversal of 585407 is 704585.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 585407 - 2⁴ = 585391 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 585407.

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 585407.

It is not an unprimeable number, because it can be changed into a prime (585437) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32 + ... + 1082.

It is an arithmetic number, because the mean of its divisors is an integer number (146754).

2⁵⁸⁵⁴⁰⁷ is an apocalyptic number.

585407 is a deficient number, since it is larger than the sum of its proper divisors (1609).

585407 is a wasteful number, since it uses less digits than its factorization.

585407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608.

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 585407 is about 765.1189450014. The cubic root of 585407 is about 83.6538571488.

The spelling of 585407 in words is "five hundred eighty-five thousand, four hundred seven".