12406167 has 24 divisors (see below), whose sum is σ = 18520320. Its totient is φ = 7998480.

The previous prime is 12406151. The next prime is 12406193. The reversal of 12406167 is 76160421.

12406167 is a `hidden beast` number, since 1 + 2 + 40 + 616 + 7 = 666.

It is not a de Polignac number, because 12406167 - 2⁴ = 12406151 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12406167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12406127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58692 + ... + 58902.

It is an arithmetic number, because the mean of its divisors is an integer number (771680).

Almost surely, 2^12406167 is an apocalyptic number.

12406167 is a deficient number, since it is larger than the sum of its proper divisors (6114153).

12406167 is a wasteful number, since it uses less digits than its factorization.

12406167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12406167 is about 3522.2389186425. The cubic root of 12406167 is about 231.4972702510.

Adding to 12406167 its reverse (76160421), we get a palindrome (88566588).

The spelling of 12406167 in words is "twelve million, four hundred six thousand, one hundred sixty-seven".