2587167 has 32 divisors (see below), whose sum is σ = 4331520. Its totient is φ = 1512000.

The previous prime is 2587163. The next prime is 2587183. The reversal of 2587167 is 7617852.

It is not a de Polignac number, because 2587167 - 2² = 2587163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9067 + ... + 9347.

It is an arithmetic number, because the mean of its divisors is an integer number (135360).

2^2587167 is an apocalyptic number.

2587167 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2587167 is a deficient number, since it is larger than the sum of its proper divisors (1744353).

2587167 is a wasteful number, since it uses less digits than its factorization.

2587167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 2587167 is about 1608.4672828504. The cubic root of 2587167 is about 137.2802793835.

The spelling of 2587167 in words is "two million, five hundred eighty-seven thousand, one hundred sixty-seven".