212167 has 2 divisors, whose sum is σ = 212168. Its totient is φ = 212166.

The previous prime is 212161. The next prime is 212183. The reversal of 212167 is 761212.

212167 is nontrivially palindromic in base 13.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 212167 - 2⁷ = 212039 is a prime.

It is an alternating number because its digits alternate between even and odd.

212167 is an undulating number in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212161) 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, 106083 + 106084.

It is an arithmetic number, because the mean of its divisors is an integer number (106084).

2²¹²¹⁶⁷ is an apocalyptic number.

212167 is a deficient number, since it is larger than the sum of its proper divisors (1).

212167 is an equidigital number, since it uses as much as digits as its factorization.

212167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168, while the sum is 19.

The square root of 212167 is about 460.6158920402. The cubic root of 212167 is about 59.6429723272.

Adding to 212167 its reverse (761212), we get a palindrome (973379).

The spelling of 212167 in words is "two hundred twelve thousand, one hundred sixty-seven".