11966985 has 24 divisors (see below), whose sum is σ = 20956104. Its totient is φ = 6316800.

The previous prime is 11966953. The next prime is 11966993. The reversal of 11966985 is 58966911.

It can be written as a sum of positive squares in 4 ways, for example, as 2082249 + 9884736 = 1443^2 + 3144^2 .

It is not a de Polignac number, because 11966985 - 2⁵ = 11966953 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11966985.

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 23 ways as a sum of consecutive naturals, for example, 3229 + ... + 5861.

It is an arithmetic number, because the mean of its divisors is an integer number (873171).

Almost surely, 2^11966985 is an apocalyptic number.

11966985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11966985 is a deficient number, since it is larger than the sum of its proper divisors (8989119).

11966985 is a wasteful number, since it uses less digits than its factorization.

11966985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2742 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 11966985 is about 3459.3330282007. Note that the first 3 decimals coincide. The cubic root of 11966985 is about 228.7326959946.

The spelling of 11966985 in words is "eleven million, nine hundred sixty-six thousand, nine hundred eighty-five".