15985 has 8 divisors (see below), whose sum is σ = 20160. Its totient is φ = 12144.

The previous prime is 15973. The next prime is 15991. The reversal of 15985 is 58951.

15985 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 15985 - 2⁹ = 15473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 184.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2¹⁵⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

15985 is a deficient number, since it is larger than the sum of its proper divisors (4175).

15985 is a wasteful number, since it uses less digits than its factorization.

15985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167.

The product of its digits is 1800, while the sum is 28.

The square root of 15985 is about 126.4317997974. The cubic root of 15985 is about 25.1905440293.

It can be divided in two parts, 15 and 985, that added together give a cube (1000 = 10³).

The spelling of 15985 in words is "fifteen thousand, nine hundred eighty-five".