11686905 has 24 divisors (see below), whose sum is σ = 21450312. Its totient is φ = 5865984.

The previous prime is 11686901. The next prime is 11686933. The reversal of 11686905 is 50968611.

It can be written as a sum of positive squares in 4 ways, for example, as 558009 + 11128896 = 747^2 + 3336^2 .

It is not a de Polignac number, because 11686905 - 2² = 11686901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11686905.

It is not an unprimeable number, because it can be changed into a prime (11686901) 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, 6874 + ... + 8403.

It is an arithmetic number, because the mean of its divisors is an integer number (893763).

Almost surely, 2^11686905 is an apocalyptic number.

11686905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11686905 is a deficient number, since it is larger than the sum of its proper divisors (9763407).

11686905 is a wasteful number, since it uses less digits than its factorization.

11686905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15305 (or 15302 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 11686905 is about 3418.6115602683. The cubic root of 11686905 is about 226.9341409466.

The spelling of 11686905 in words is "eleven million, six hundred eighty-six thousand, nine hundred five".