113007167 has 16 divisors (see below), whose sum is σ = 140374080. Its totient is φ = 88584192.

The previous prime is 113007157. The next prime is 113007179. The reversal of 113007167 is 761700311.

It is a cyclic number.

It is not a de Polignac number, because 113007167 - 2⁸ = 113006911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113007107) 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 15 ways as a sum of consecutive naturals, for example, 4223 + ... + 15615.

It is an arithmetic number, because the mean of its divisors is an integer number (8773380).

Almost surely, 2^113007167 is an apocalyptic number.

113007167 is a deficient number, since it is larger than the sum of its proper divisors (27366913).

113007167 is a wasteful number, since it uses less digits than its factorization.

113007167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11522.

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 113007167 is about 10630.4829147128. The cubic root of 113007167 is about 483.4690335845.

Adding to 113007167 its reverse (761700311), we get a palindrome (874707478).

The spelling of 113007167 in words is "one hundred thirteen million, seven thousand, one hundred sixty-seven".