27985 has 8 divisors (see below), whose sum is σ = 34920. Its totient is φ = 21504.

The previous prime is 27983. The next prime is 27997. The reversal of 27985 is 58972.

27985 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 1089 + 26896 = 33^2 + 164^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 27985 - 2¹ = 27983 is a prime.

It is a nialpdrome in base 6 and base 8.

It is not an unprimeable number, because it can be changed into a prime (27983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49 + ... + 241.

It is an arithmetic number, because the mean of its divisors is an integer number (4365).

2²⁷⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

27985 is a deficient number, since it is larger than the sum of its proper divisors (6935).

27985 is a wasteful number, since it uses less digits than its factorization.

27985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227.

The product of its digits is 5040, while the sum is 31.

The square root of 27985 is about 167.2871782295. The cubic root of 27985 is about 30.3604662699.

The spelling of 27985 in words is "twenty-seven thousand, nine hundred eighty-five".