122165891 has 2 divisors, whose sum is σ = 122165892. Its totient is φ = 122165890.

The previous prime is 122165873. The next prime is 122165899. The reversal of 122165891 is 198561221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122165891 - 2²⁶ = 55057027 is a prime.

It is a super-4 number, since 4×122165891⁴ (a number of 33 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (122165899) 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, 61082945 + 61082946.

It is an arithmetic number, because the mean of its divisors is an integer number (61082946).

Almost surely, 2^122165891 is an apocalyptic number.

122165891 is a deficient number, since it is larger than the sum of its proper divisors (1).

122165891 is an equidigital number, since it uses as much as digits as its factorization.

122165891 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8640, while the sum is 35.

The square root of 122165891 is about 11052.8679988499. The cubic root of 122165891 is about 496.1922639020.

The spelling of 122165891 in words is "one hundred twenty-two million, one hundred sixty-five thousand, eight hundred ninety-one".