212964 has 12 divisors (see below), whose sum is σ = 496944. Its totient is φ = 70984.

The previous prime is 212923. The next prime is 212969. The reversal of 212964 is 469212.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (212969) by changing a digit.

212964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8862 + ... + 8885.

It is an arithmetic number, because the mean of its divisors is an integer number (41412).

2²¹²⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

212964 is an abundant number, since it is smaller than the sum of its proper divisors (283980).

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

212964 is a wasteful number, since it uses less digits than its factorization.

212964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17754 (or 17752 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 212964 is about 461.4802270954. The cubic root of 212964 is about 59.7175614495.

It can be divided in two parts, 21296 and 4, that multiplied together give a cube (85184 = 44³).

The spelling of 212964 in words is "two hundred twelve thousand, nine hundred sixty-four".