6409585 has 16 divisors (see below), whose sum is σ = 9467136. Its totient is φ = 4056768.

The previous prime is 6409577. The next prime is 6409589. The reversal of 6409585 is 5859046.

It is a cyclic number.

It is not a de Polignac number, because 6409585 - 2³ = 6409577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6409589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6589 + ... + 7498.

It is an arithmetic number, because the mean of its divisors is an integer number (591696).

Almost surely, 2^6409585 is an apocalyptic number.

6409585 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6409585 is a deficient number, since it is larger than the sum of its proper divisors (3057551).

6409585 is a wasteful number, since it uses less digits than its factorization.

6409585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14112.

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 6409585 is about 2531.7158213354. The cubic root of 6409585 is about 185.7561938390.

The spelling of 6409585 in words is "six million, four hundred nine thousand, five hundred eighty-five".