212792 has 16 divisors (see below), whose sum is σ = 405960. Its totient is φ = 104544.

The previous prime is 212791. The next prime is 212801. The reversal of 212792 is 297212.

212792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

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 212792.

It is not an unprimeable number, because it can be changed into a prime (212791) 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, 338 + ... + 734.

2²¹²⁷⁹² is an apocalyptic number.

It is an amenable number.

212792 is a deficient number, since it is larger than the sum of its proper divisors (193168).

212792 is a wasteful number, since it uses less digits than its factorization.

212792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 466 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 212792 is about 461.2938326056. The cubic root of 212792 is about 59.7014801915.

The spelling of 212792 in words is "two hundred twelve thousand, seven hundred ninety-two".