212864 has 16 divisors (see below), whose sum is σ = 424320. Its totient is φ = 106368.

The previous prime is 212851. The next prime is 212867. The reversal of 212864 is 468212.

212864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×212864² = 90622164992, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 704 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (26520).

2²¹²⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

212864 is a deficient number, since it is larger than the sum of its proper divisors (211456).

212864 is an equidigital number, since it uses as much as digits as its factorization.

212864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1665 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 212864 is about 461.3718673695. The cubic root of 212864 is about 59.7082129350.

The spelling of 212864 in words is "two hundred twelve thousand, eight hundred sixty-four".