8985 has 8 divisors (see below), whose sum is σ = 14400. Its totient is φ = 4784.

The previous prime is 8971. The next prime is 8999. The reversal of 8985 is 5898.

8985 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8971) and next prime (8999).

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 8985 - 2⁴ = 8969 is a prime.

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

It is a Curzon number.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

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, 285 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (1800).

2⁸⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

8985 is a deficient number, since it is larger than the sum of its proper divisors (5415).

8985 is a wasteful number, since it uses less digits than its factorization.

8985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607.

The product of its digits is 2880, while the sum is 30.

The square root of 8985 is about 94.7892398957. The cubic root of 8985 is about 20.7892757833.

Subtracting from 8985 its product of digits (2880), we obtain a triangular number (6105 = T₁₁₀).

It can be divided in two parts, 898 and 5, that added together give a triangular number (903 = T₄₂).

The spelling of 8985 in words is "eight thousand, nine hundred eighty-five".