11687985 has 12 divisors (see below), whose sum is σ = 20259252. Its totient is φ = 6233568.

The previous prime is 11687953. The next prime is 11687989. The reversal of 11687985 is 58978611.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 4004001 = 2772^2 + 2001^2 .

It is not a de Polignac number, because 11687985 - 2⁵ = 11687953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 259733 = 11687985 / (1 + 1 + 6 + 8 + 7 + 9 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 11687985.

It is not an unprimeable number, because it can be changed into a prime (11687989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129822 + ... + 129911.

It is an arithmetic number, because the mean of its divisors is an integer number (1688271).

Almost surely, 2^11687985 is an apocalyptic number.

11687985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11687985 is a deficient number, since it is larger than the sum of its proper divisors (8571267).

11687985 is a wasteful number, since it uses less digits than its factorization.

11687985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259744 (or 259741 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 11687985 is about 3418.7695154836. The cubic root of 11687985 is about 226.9411311441.

It can be divided in two parts, 116879 and 85, that added together give a square (116964 = 342²).

The spelling of 11687985 in words is "eleven million, six hundred eighty-seven thousand, nine hundred eighty-five".