6585667 has 12 divisors (see below), whose sum is σ = 7439488. Its totient is φ = 5821200.

The previous prime is 6585661. The next prime is 6585673. The reversal of 6585667 is 7665856.

It is an interprime number because it is at equal distance from previous prime (6585661) and next prime (6585673).

It is not a de Polignac number, because 6585667 - 2⁷ = 6585539 is a prime.

It is a Duffinian number.

6585667 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6585661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3742 + ... + 5212.

Almost surely, 2^6585667 is an apocalyptic number.

6585667 is a deficient number, since it is larger than the sum of its proper divisors (853821).

6585667 is a wasteful number, since it uses less digits than its factorization.

6585667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1519 counting only the distinct ones).

The product of its digits is 302400, while the sum is 43.

The square root of 6585667 is about 2566.2554432480. The cubic root of 6585667 is about 187.4418616786.

The spelling of 6585667 in words is "six million, five hundred eighty-five thousand, six hundred sixty-seven".