120167165 has 8 divisors (see below), whose sum is σ = 146921688. Its totient is φ = 94319680.

The previous prime is 120167161. The next prime is 120167171. The reversal of 120167165 is 561761021.

It can be written as a sum of positive squares in 4 ways, for example, as 46430596 + 73736569 = 6814^2 + 8587^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 120167165 - 2² = 120167161 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120167161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226466 + ... + 226995.

It is an arithmetic number, because the mean of its divisors is an integer number (18365211).

Almost surely, 2^120167165 is an apocalyptic number.

It is an amenable number.

120167165 is a deficient number, since it is larger than the sum of its proper divisors (26754523).

120167165 is an equidigital number, since it uses as much as digits as its factorization.

120167165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453519.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 120167165 is about 10962.0784981681. The cubic root of 120167165 is about 493.4713443414.

The spelling of 120167165 in words is "one hundred twenty million, one hundred sixty-seven thousand, one hundred sixty-five".