212136 has 16 divisors (see below), whose sum is σ = 530400. Its totient is φ = 70704.

The previous prime is 212131. The next prime is 212141. The reversal of 212136 is 631212.

212136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212131) and next prime (212141).

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 212136.

It is not an unprimeable number, because it can be changed into a prime (212131) by changing a digit.

212136 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, 4396 + ... + 4443.

It is an arithmetic number, because the mean of its divisors is an integer number (33150).

2²¹²¹³⁶ is an apocalyptic number.

It is an amenable number.

212136 is an abundant number, since it is smaller than the sum of its proper divisors (318264).

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

212136 is a wasteful number, since it uses less digits than its factorization.

212136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8848 (or 8844 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 212136 is about 460.5822402134. The cubic root of 212136 is about 59.6400673479.

Adding to 212136 its reverse (631212), we get a palindrome (843348).

The spelling of 212136 in words is "two hundred twelve thousand, one hundred thirty-six".