11579985 has 24 divisors (see below), whose sum is σ = 20166120. Its totient is φ = 6147072.

The previous prime is 11579983. The next prime is 11579993. The reversal of 11579985 is 58997511.

It can be written as a sum of positive squares in 4 ways, for example, as 370881 + 11209104 = 609^2 + 3348^2 .

It is not a de Polignac number, because 11579985 - 2¹ = 11579983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11579985.

It is not an unprimeable number, because it can be changed into a prime (11579983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12001 + ... + 12929.

It is an arithmetic number, because the mean of its divisors is an integer number (840255).

Almost surely, 2^11579985 is an apocalyptic number.

11579985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11579985 is a deficient number, since it is larger than the sum of its proper divisors (8586135).

11579985 is a wasteful number, since it uses less digits than its factorization.

11579985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1214 counting only the distinct ones).

The product of its digits is 113400, while the sum is 45.

The square root of 11579985 is about 3402.9377014574. The cubic root of 11579985 is about 226.2399688277.

The spelling of 11579985 in words is "eleven million, five hundred seventy-nine thousand, nine hundred eighty-five".