122667165 has 36 divisors (see below), whose sum is σ = 222312636. Its totient is φ = 62565888.

The previous prime is 122667163. The next prime is 122667169. The reversal of 122667165 is 561766221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 60793209 + 61873956 = 7797^2 + 7866^2 .

It is not a de Polignac number, because 122667165 - 2¹ = 122667163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122667163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21229 + ... + 26381.

It is an arithmetic number, because the mean of its divisors is an integer number (6175351).

Almost surely, 2^122667165 is an apocalyptic number.

122667165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122667165 is a deficient number, since it is larger than the sum of its proper divisors (99645471).

122667165 is a wasteful number, since it uses less digits than its factorization.

122667165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5184 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 122667165 is about 11075.5209809742. The cubic root of 122667165 is about 496.8700004244.

The spelling of 122667165 in words is "one hundred twenty-two million, six hundred sixty-seven thousand, one hundred sixty-five".