212667 has 32 divisors (see below), whose sum is σ = 376320. Its totient is φ = 103680.

The previous prime is 212651. The next prime is 212669. The reversal of 212667 is 766212.

It is a happy number.

It is not a de Polignac number, because 212667 - 2⁴ = 212651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5167 + ... + 5207.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2²¹²⁶⁶⁷ is an apocalyptic number.

212667 is a deficient number, since it is larger than the sum of its proper divisors (163653).

212667 is a wasteful number, since it uses less digits than its factorization.

212667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

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

The square root of 212667 is about 461.1583242228. The cubic root of 212667 is about 59.6897877928.

Adding to 212667 its reverse (766212), we get a palindrome (978879).

The spelling of 212667 in words is "two hundred twelve thousand, six hundred sixty-seven".