2566167 has 16 divisors (see below), whose sum is σ = 3681792. Its totient is φ = 1584000.

The previous prime is 2566163. The next prime is 2566171. The reversal of 2566167 is 7616652.

It is an interprime number because it is at equal distance from previous prime (2566163) and next prime (2566171).

It is not a de Polignac number, because 2566167 - 2² = 2566163 is a prime.

2566167 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3042 + ... + 3792.

It is an arithmetic number, because the mean of its divisors is an integer number (230112).

2^2566167 is an apocalyptic number.

2566167 is a deficient number, since it is larger than the sum of its proper divisors (1115625).

2566167 is a wasteful number, since it uses less digits than its factorization.

2566167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838.

The product of its digits is 15120, while the sum is 33.

The square root of 2566167 is about 1601.9260282547. The cubic root of 2566167 is about 136.9078357868.

The spelling of 2566167 in words is "two million, five hundred sixty-six thousand, one hundred sixty-seven".