12985 has 12 divisors (see below), whose sum is σ = 18468. Its totient is φ = 8736.

The previous prime is 12983. The next prime is 13001. The reversal of 12985 is 58921.

12985 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 5929 = 84^2 + 77^2 .

It is not a de Polignac number, because 12985 - 2¹ = 12983 is a prime.

It is a super-2 number, since 2×12985² = 337220450, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

12985 is a Rhonda number in base 10.

Its product of digits (720) is a multiple of the sum of its prime factors (72).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (1539).

2¹²⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

12985 is a deficient number, since it is larger than the sum of its proper divisors (5483).

12985 is an equidigital number, since it uses as much as digits as its factorization.

12985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 65 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 12985 is about 113.9517441727. The cubic root of 12985 is about 23.5042998017.

The spelling of 12985 in words is "twelve thousand, nine hundred eighty-five".