6587 has 4 divisors (see below), whose sum is σ = 7536. Its totient is φ = 5640.

The previous prime is 6581. The next prime is 6599. The reversal of 6587 is 7856.

6587 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 6587 - 2⁴ = 6571 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6587.

It is not an unprimeable number, because it can be changed into a prime (6581) 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, 464 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (1884).

2⁶⁵⁸⁷ is an apocalyptic number.

6587 is a deficient number, since it is larger than the sum of its proper divisors (949).

6587 is an equidigital number, since it uses as much as digits as its factorization.

6587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948.

The product of its digits is 1680, while the sum is 26.

The square root of 6587 is about 81.1603351398. The cubic root of 6587 is about 18.7454507482.

Subtracting from 6587 its sum of digits (26), we obtain a 8-th power (6561 = 3⁸).

Multiplying 6587 by its product of digits (1680), we get a triangular number (11066160 = T₄₇₀₄).

The spelling of 6587 in words is "six thousand, five hundred eighty-seven".