113209585 has 8 divisors (see below), whose sum is σ = 136446120. Its totient is φ = 90171264.

The previous prime is 113209567. The next prime is 113209597. The reversal of 113209585 is 585902311.

It can be written as a sum of positive squares in 4 ways, for example, as 53348416 + 59861169 = 7304^2 + 7737^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113209585 - 2⁹ = 113209073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113209585.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48292 + ... + 50581.

It is an arithmetic number, because the mean of its divisors is an integer number (17055765).

Almost surely, 2^113209585 is an apocalyptic number.

It is an amenable number.

113209585 is a deficient number, since it is larger than the sum of its proper divisors (23236535).

113209585 is an equidigital number, since it uses as much as digits as its factorization.

113209585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99107.

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 113209585 is about 10639.9992951128. Note that the first 3 decimals coincide. The cubic root of 113209585 is about 483.7575240257.

The spelling of 113209585 in words is "one hundred thirteen million, two hundred nine thousand, five hundred eighty-five".