212565 has 16 divisors (see below), whose sum is σ = 350208. Its totient is φ = 110016.

The previous prime is 212561. The next prime is 212573. The reversal of 212565 is 565212.

It is not a de Polignac number, because 212565 - 2² = 212561 is a prime.

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

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 212565.

It is not an unprimeable number, because it can be changed into a prime (212561) 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, 364 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (21888).

2²¹²⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

212565 is a deficient number, since it is larger than the sum of its proper divisors (137643).

212565 is a wasteful number, since it uses less digits than its factorization.

212565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428.

The product of its digits is 600, while the sum is 21.

The square root of 212565 is about 461.0477198729. The cubic root of 212565 is about 59.6802434002.

Adding to 212565 its reverse (565212), we get a palindrome (777777).

It can be divided in two parts, 212 and 565, that added together give a palindrome (777).

The spelling of 212565 in words is "two hundred twelve thousand, five hundred sixty-five".