13985 has 4 divisors (see below), whose sum is σ = 16788. Its totient is φ = 11184.

The previous prime is 13967. The next prime is 13997. The reversal of 13985 is 58931.

13985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 58931 = 31 ⋅1901.

It can be written as a sum of positive squares in 2 ways, for example, as 7744 + 6241 = 88^2 + 79^2 .

It is a cyclic number.

It is not a de Polignac number, because 13985 - 2⁶ = 13921 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1394 + ... + 1403.

It is an arithmetic number, because the mean of its divisors is an integer number (4197).

2¹³⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

13985 is a deficient number, since it is larger than the sum of its proper divisors (2803).

13985 is an equidigital number, since it uses as much as digits as its factorization.

13985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802.

The product of its digits is 1080, while the sum is 26.

The square root of 13985 is about 118.2581921052. The cubic root of 13985 is about 24.0928119148.

The spelling of 13985 in words is "thirteen thousand, nine hundred eighty-five".