2657167 has 6 divisors (see below), whose sum is σ = 2778272. Its totient is φ = 2541132.

The previous prime is 2657159. The next prime is 2657173. The reversal of 2657167 is 7617562.

2657167 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 2657167 - 2³ = 2657159 is a prime.

It is a Duffinian number.

2657167 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2657197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1983 + ... + 3040.

2^2657167 is an apocalyptic number.

2657167 is a deficient number, since it is larger than the sum of its proper divisors (121105).

2657167 is an equidigital number, since it uses as much as digits as its factorization.

2657167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5046 counting only the distinct ones).

The product of its digits is 17640, while the sum is 34.

The square root of 2657167 is about 1630.0818997830. The cubic root of 2657167 is about 138.5073914217.

The spelling of 2657167 in words is "two million, six hundred fifty-seven thousand, one hundred sixty-seven".