99585 has 12 divisors (see below), whose sum is σ = 172692. Its totient is φ = 53088.

The previous prime is 99581. The next prime is 99607. The reversal of 99585 is 58599.

It can be written as a sum of positive squares in 2 ways, for example, as 76176 + 23409 = 276^2 + 153^2 .

It is not a de Polignac number, because 99585 - 2² = 99581 is a prime.

99585 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99585.

It is not an unprimeable number, because it can be changed into a prime (99581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1062 + ... + 1151.

It is an arithmetic number, because the mean of its divisors is an integer number (14391).

2⁹⁹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

99585 is a deficient number, since it is larger than the sum of its proper divisors (73107).

99585 is a wasteful number, since it uses less digits than its factorization.

99585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2221 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 99585 is about 315.5709112070. The cubic root of 99585 is about 46.3515906633.

The spelling of 99585 in words is "ninety-nine thousand, five hundred eighty-five".