531585 has 12 divisors (see below), whose sum is σ = 921492. Its totient is φ = 283488.

The previous prime is 531581. The next prime is 531589. The reversal of 531585 is 585135.

It is an interprime number because it is at equal distance from previous prime (531581) and next prime (531589).

It can be written as a sum of positive squares in 2 ways, for example, as 199809 + 331776 = 447^2 + 576^2 .

It is not a de Polignac number, because 531585 - 2² = 531581 is a prime.

It is a super-2 number, since 2×531585² = 565165224450, which contains 22 as substring.

It is a d-powerful number, because it can be written as 5 + 3¹² + 5 + 1 + 8 + 5³ .

531585 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 531585.

It is not an unprimeable number, because it can be changed into a prime (531581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5862 + ... + 5951.

It is an arithmetic number, because the mean of its divisors is an integer number (76791).

2⁵³¹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

531585 is a deficient number, since it is larger than the sum of its proper divisors (389907).

531585 is a wasteful number, since it uses less digits than its factorization.

531585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11824 (or 11821 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 531585 is about 729.0987587426. The cubic root of 531585 is about 81.0073152973.

The spelling of 531585 in words is "five hundred thirty-one thousand, five hundred eighty-five".