Pick out the odd one from the following: $1331,1728,2197,2744,3365$

Let's check the mathematical properties of each number in the given group:
* $1331=11^3$ (Perfect cube of 11)
* $1728=12^3$ (Perfect cube of 12)
* $2197=13^3$ (Perfect cube of 13)
* $2744=14^3$ (Perfect cube of 14)
* $3365$ is not a perfect cube. (Note that $15^3=3375$)

Since all other numbers are perfect cubes except $3365$, it is the odd one out.