212585 has 16 divisors (see below), whose sum is σ = 281232. Its totient is φ = 153600.

The previous prime is 212579. The next prime is 212587. The reversal of 212585 is 585212.

It can be written as a sum of positive squares in 8 ways, for example, as 50176 + 162409 = 224^2 + 403^2 .

It is not a de Polignac number, because 212585 - 2¹² = 208489 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 212585.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212585.

It is not an unprimeable number, because it can be changed into a prime (212587) 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 15 ways as a sum of consecutive naturals, for example, 3455 + ... + 3515.

It is an arithmetic number, because the mean of its divisors is an integer number (17577).

2²¹²⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

212585 is a deficient number, since it is larger than the sum of its proper divisors (68647).

212585 is a wasteful number, since it uses less digits than its factorization.

212585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124.

The product of its digits is 800, while the sum is 23.

The square root of 212585 is about 461.0694090915. The cubic root of 212585 is about 59.6821150903.

Adding to 212585 its reverse (585212), we get a palindrome (797797).

It can be divided in two parts, 2125 and 85, that multiplied together give a square (180625 = 425²).

The spelling of 212585 in words is "two hundred twelve thousand, five hundred eighty-five".