9966585 has 32 divisors (see below), whose sum is σ = 16607232. Its totient is φ = 5100480.

The previous prime is 9966581. The next prime is 9966587. The reversal of 9966585 is 5856699.

9966585 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9966585 - 2² = 9966581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966581) 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, 47130 + ... + 47340.

It is an arithmetic number, because the mean of its divisors is an integer number (518976).

Almost surely, 2^9966585 is an apocalyptic number.

It is an amenable number.

9966585 is a deficient number, since it is larger than the sum of its proper divisors (6640647).

9966585 is a wasteful number, since it uses less digits than its factorization.

9966585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333.

The product of its digits is 583200, while the sum is 48.

The square root of 9966585 is about 3156.9898637785. The cubic root of 9966585 is about 215.2032331042.

The spelling of 9966585 in words is "nine million, nine hundred sixty-six thousand, five hundred eighty-five".