585369 has 12 divisors (see below), whose sum is σ = 852436. Its totient is φ = 387072.

The previous prime is 585367. The next prime is 585383. The reversal of 585369 is 963585.

It can be written as a sum of positive squares in 2 ways, for example, as 149769 + 435600 = 387^2 + 660^2 .

It is not a de Polignac number, because 585369 - 2¹ = 585367 is a prime.

It is a super-2 number, since 2×585369² = 685313732322, which contains 22 as substring.

It is a Duffinian number.

585369 is a lucky number.

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 585369.

It is not an unprimeable number, because it can be changed into a prime (585367) 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 in 11 ways as a sum of consecutive naturals, for example, 1569 + ... + 1905.

2⁵⁸⁵³⁶⁹ is an apocalyptic number.

It is an amenable number.

585369 is a deficient number, since it is larger than the sum of its proper divisors (267067).

585369 is a wasteful number, since it uses less digits than its factorization.

585369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 533 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 585369 is about 765.0941118581. The cubic root of 585369 is about 83.6520470603.

The spelling of 585369 in words is "five hundred eighty-five thousand, three hundred sixty-nine".