Find the next term in this series. 27, 343, 1331, 3375, 6859,

The given series is a series of cubes of consecutive prime numbers.

Here's how you can find the next term:

1. Identify the cube root of each number in the series.

   ∛27 = 3 ∛343 = 7 ∛1331 = 11 ∛3375 = 15 ∛6859 = 19

2. Notice that these numbers (3, 7, 11, 15, 19) are all prime numbers.

3. Identify the next prime number after 19, which is 23.

4. Cube this number to find the next term in the series.

   23^3 = 12167

So, the next term in the series is 12167.