2564167 has 4 divisors (see below), whose sum is σ = 2567376. Its totient is φ = 2560960.

The previous prime is 2564147. The next prime is 2564171. The reversal of 2564167 is 7614652.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 2564167 - 2⁷ = 2564039 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 663 + ... + 2359.

It is an arithmetic number, because the mean of its divisors is an integer number (641844).

2^2564167 is an apocalyptic number.

2564167 is a deficient number, since it is larger than the sum of its proper divisors (3209).

2564167 is a wasteful number, since it uses less digits than its factorization.

2564167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208.

The product of its digits is 10080, while the sum is 31.

The square root of 2564167 is about 1601.3016580270. The cubic root of 2564167 is about 136.8722591418.

The spelling of 2564167 in words is "two million, five hundred sixty-four thousand, one hundred sixty-seven".