11661585 has 32 divisors (see below), whose sum is σ = 20375040. Its totient is φ = 5660928.

The previous prime is 11661571. The next prime is 11661607. The reversal of 11661585 is 58516611.

11661585 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11661585 - 2⁴ = 11661569 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15027 + ... + 15783.

It is an arithmetic number, because the mean of its divisors is an integer number (636720).

Almost surely, 2^11661585 is an apocalyptic number.

11661585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11661585 is a deficient number, since it is larger than the sum of its proper divisors (8713455).

11661585 is a wasteful number, since it uses less digits than its factorization.

11661585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857.

The product of its digits is 7200, while the sum is 33.

The square root of 11661585 is about 3414.9062944684. The cubic root of 11661585 is about 226.7701361037.

It can be divided in two parts, 11661 and 585, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 11661585 in words is "eleven million, six hundred sixty-one thousand, five hundred eighty-five".