12705985 has 16 divisors (see below), whose sum is σ = 15789456. Its totient is φ = 9808128.

The previous prime is 12705983. The next prime is 12705991. The reversal of 12705985 is 58950721.

12705985 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2745649 + 9960336 = 1657^2 + 3156^2 .

It is a cyclic number.

It is not a de Polignac number, because 12705985 - 2¹ = 12705983 is a prime.

It is a super-2 number, since 2×12705985² = 322884109640450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12705983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31807 + ... + 32203.

It is an arithmetic number, because the mean of its divisors is an integer number (986841).

Almost surely, 2^12705985 is an apocalyptic number.

It is an amenable number.

12705985 is a deficient number, since it is larger than the sum of its proper divisors (3083471).

12705985 is a wasteful number, since it uses less digits than its factorization.

12705985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612.

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 12705985 is about 3564.5455530825. The cubic root of 12705985 is about 233.3472996175.

The spelling of 12705985 in words is "twelve million, seven hundred five thousand, nine hundred eighty-five".