120753167 has 4 divisors (see below), whose sum is σ = 120801240. Its totient is φ = 120705096.

The previous prime is 120753161. The next prime is 120753203. The reversal of 120753167 is 761357021.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 761357021 = 10253 ⋅74257.

It is a cyclic number.

It is not a de Polignac number, because 120753167 - 2⁸ = 120752911 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 (120753161) 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 in 3 ways as a sum of consecutive naturals, for example, 20048 + ... + 25365.

It is an arithmetic number, because the mean of its divisors is an integer number (30200310).

Almost surely, 2^120753167 is an apocalyptic number.

120753167 is a deficient number, since it is larger than the sum of its proper divisors (48073).

120753167 is an equidigital number, since it uses as much as digits as its factorization.

120753167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48072.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 120753167 is about 10988.7745904628. The cubic root of 120753167 is about 494.2721909630.

The spelling of 120753167 in words is "one hundred twenty million, seven hundred fifty-three thousand, one hundred sixty-seven".