6586041 has 24 divisors (see below), whose sum is σ = 11146464. Its totient is φ = 3420480.

The previous prime is 6586039. The next prime is 6586049. The reversal of 6586041 is 1406856.

It is not a de Polignac number, because 6586041 - 2¹ = 6586039 is a prime.

It is a Curzon number.

6586041 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6586049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420 + ... + 3653.

It is an arithmetic number, because the mean of its divisors is an integer number (464436).

Almost surely, 2^6586041 is an apocalyptic number.

It is an amenable number.

6586041 is a deficient number, since it is larger than the sum of its proper divisors (4560423).

6586041 is a wasteful number, since it uses less digits than its factorization.

6586041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 6586041 is about 2566.3283110312. The cubic root of 6586041 is about 187.4454098856.

The spelling of 6586041 in words is "six million, five hundred eighty-six thousand, forty-one".