212112167 has 2 divisors, whose sum is σ = 212112168. Its totient is φ = 212112166.

The previous prime is 212112161. The next prime is 212112169. The reversal of 212112167 is 761211212.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 212112167 - 2¹⁴ = 212095783 is a prime.

Together with 212112169, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212112161) 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 as a sum of consecutive naturals, namely, 106056083 + 106056084.

It is an arithmetic number, because the mean of its divisors is an integer number (106056084).

Almost surely, 2^212112167 is an apocalyptic number.

212112167 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112167 is an equidigital number, since it uses as much as digits as its factorization.

212112167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 23.

The square root of 212112167 is about 14564.0710997990. The cubic root of 212112167 is about 596.3783378867.

Adding to 212112167 its reverse (761211212), we get a palindrome (973323379).

The spelling of 212112167 in words is "two hundred twelve million, one hundred twelve thousand, one hundred sixty-seven".