113764167 has 24 divisors (see below), whose sum is σ = 179632128. Its totient is φ = 68806800.

The previous prime is 113764163. The next prime is 113764169. The reversal of 113764167 is 761467311.

113764167 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 641 + 6 + 7 = 666.

It is not a de Polignac number, because 113764167 - 2² = 113764163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113764163) 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 23 ways as a sum of consecutive naturals, for example, 67578 + ... + 69240.

It is an arithmetic number, because the mean of its divisors is an integer number (7484672).

Almost surely, 2^113764167 is an apocalyptic number.

113764167 is a deficient number, since it is larger than the sum of its proper divisors (65867961).

113764167 is a wasteful number, since it uses less digits than its factorization.

113764167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2368 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 113764167 is about 10666.0286423767. The cubic root of 113764167 is about 484.5461684447.

The spelling of 113764167 in words is "one hundred thirteen million, seven hundred sixty-four thousand, one hundred sixty-seven".