12964167 has 12 divisors (see below), whose sum is σ = 18779904. Its totient is φ = 8617920.

The previous prime is 12964163. The next prime is 12964177. The reversal of 12964167 is 76146921.

12964167 is a `hidden beast` number, since 1 + 2 + 9 + 641 + 6 + 7 = 666.

12964167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12964167 - 2² = 12964163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12964163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1567 + ... + 5327.

It is an arithmetic number, because the mean of its divisors is an integer number (1564992).

Almost surely, 2^12964167 is an apocalyptic number.

12964167 is a deficient number, since it is larger than the sum of its proper divisors (5815737).

12964167 is a wasteful number, since it uses less digits than its factorization.

12964167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4147 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 12964167 is about 3600.5787034864. The cubic root of 12964167 is about 234.9172305463.

It can be divided in two parts, 12964 and 167, that added together give a palindrome (13131).

The spelling of 12964167 in words is "twelve million, nine hundred sixty-four thousand, one hundred sixty-seven".