212564 has 12 divisors (see below), whose sum is σ = 405888. Its totient is φ = 96600.

The previous prime is 212561. The next prime is 212573. The reversal of 212564 is 465212.

It is a happy number.

212564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam 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 212564.

It is not an unprimeable number, because it can be changed into a prime (212561) 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, 2372 + ... + 2459.

It is an arithmetic number, because the mean of its divisors is an integer number (33824).

2²¹²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

212564 is a deficient number, since it is larger than the sum of its proper divisors (193324).

212564 is a wasteful number, since it uses less digits than its factorization.

212564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4846 (or 4844 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 212564 is about 461.0466353852. The cubic root of 212564 is about 59.6801498126.

Adding to 212564 its reverse (465212), we get a palindrome (677776).

The spelling of 212564 in words is "two hundred twelve thousand, five hundred sixty-four".