11516985 has 24 divisors (see below), whose sum is σ = 20704320. Its totient is φ = 6141744.

The previous prime is 11516933. The next prime is 11517017. The reversal of 11516985 is 58961511.

It is not a de Polignac number, because 11516985 - 2⁹ = 11516473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3525 + ... + 5954.

It is an arithmetic number, because the mean of its divisors is an integer number (862680).

Almost surely, 2^11516985 is an apocalyptic number.

11516985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11516985 is a deficient number, since it is larger than the sum of its proper divisors (9187335).

11516985 is an frugal number, since it uses more digits than its factorization.

11516985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9499 (or 9487 counting only the distinct ones).

The product of its digits is 10800, while the sum is 36.

The square root of 11516985 is about 3393.6683691840. The cubic root of 11516985 is about 225.8289422705.

The spelling of 11516985 in words is "eleven million, five hundred sixteen thousand, nine hundred eighty-five".