212664 has 16 divisors (see below), whose sum is σ = 531720. Its totient is φ = 70880.

The previous prime is 212651. The next prime is 212669. The reversal of 212664 is 466212.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212669) 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 3 ways as a sum of consecutive naturals, for example, 4407 + ... + 4454.

2²¹²⁶⁶⁴ is an apocalyptic number.

212664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212664 is an abundant number, since it is smaller than the sum of its proper divisors (319056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212664 is a wasteful number, since it uses less digits than its factorization.

212664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8870 (or 8866 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 212664 is about 461.1550715323. The cubic root of 212664 is about 59.6895071189.

Adding to 212664 its reverse (466212), we get a palindrome (678876).

The spelling of 212664 in words is "two hundred twelve thousand, six hundred sixty-four".