212766 has 8 divisors (see below), whose sum is σ = 425544. Its totient is φ = 70920.

The previous prime is 212701. The next prime is 212777. The reversal of 212766 is 667212.

It is a happy number.

212766 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

212766 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

212766 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a plaindrome in base 14.

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 212766.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17725 + ... + 17736.

It is an arithmetic number, because the mean of its divisors is an integer number (53193).

2²¹²⁷⁶⁶ is an apocalyptic number.

212766 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

212766 is a wasteful number, since it uses less digits than its factorization.

212766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35466.

The product of its digits is 1008, while the sum is 24.

The square root of 212766 is about 461.2656501410. The cubic root of 212766 is about 59.6990485498.

Adding to 212766 its reverse (667212), we get a palindrome (879978).

The spelling of 212766 in words is "two hundred twelve thousand, seven hundred sixty-six".