212867 has 2 divisors, whose sum is σ = 212868. Its totient is φ = 212866.

The previous prime is 212851. The next prime is 212869. The reversal of 212867 is 768212.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 212867 - 2⁴ = 212851 is a prime.

Together with 212869, it forms a pair of twin primes.

It is a Chen prime.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212867.

It is not a weakly prime, because it can be changed into another prime (212869) 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 as a sum of consecutive naturals, namely, 106433 + 106434.

It is an arithmetic number, because the mean of its divisors is an integer number (106434).

2²¹²⁸⁶⁷ is an apocalyptic number.

212867 is a deficient number, since it is larger than the sum of its proper divisors (1).

212867 is an equidigital number, since it uses as much as digits as its factorization.

212867 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1344, while the sum is 26.

The square root of 212867 is about 461.3751185315. The cubic root of 212867 is about 59.7084934331.

The spelling of 212867 in words is "two hundred twelve thousand, eight hundred sixty-seven".