12957985 has 8 divisors (see below), whose sum is σ = 15575976. Its totient is φ = 10348800.

The previous prime is 12957953. The next prime is 12957991. The reversal of 12957985 is 58975921.

It can be written as a sum of positive squares in 4 ways, for example, as 1014049 + 11943936 = 1007^2 + 3456^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12957985 - 2⁵ = 12957953 is a prime.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 1657 + ... + 5353.

It is an arithmetic number, because the mean of its divisors is an integer number (1946997).

Almost surely, 2^12957985 is an apocalyptic number.

It is an amenable number.

12957985 is a deficient number, since it is larger than the sum of its proper divisors (2617991).

12957985 is an equidigital number, since it uses as much as digits as its factorization.

12957985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403.

The product of its digits is 226800, while the sum is 46.

The square root of 12957985 is about 3599.7201280100. The cubic root of 12957985 is about 234.8798842924.

The spelling of 12957985 in words is "twelve million, nine hundred fifty-seven thousand, nine hundred eighty-five".