212292 has 18 divisors (see below), whose sum is σ = 536718. Its totient is φ = 70752.

The previous prime is 212281. The next prime is 212293. The reversal of 212292 is 292212.

212292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 4356 = 456^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212292.

It is not an unprimeable number, because it can be changed into a prime (212293) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2913 + ... + 2984.

2²¹²²⁹² is an apocalyptic number.

It is an amenable number.

212292 is an abundant number, since it is smaller than the sum of its proper divisors (324426).

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

212292 is a wasteful number, since it uses less digits than its factorization.

212292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907 (or 5902 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 212292 is about 460.7515599540. The cubic root of 212292 is about 59.6546830831.

The spelling of 212292 in words is "two hundred twelve thousand, two hundred ninety-two".