Styrofoam can NOT be recycled. You also should never burn styrofoam. It produces a very toxic gas.
It is best to find ways to reuse styrofoam. It does not break down.
Ways to reuse styrofoam include as packing material. It’s firm but soft exterior can help protect items that need to be shipped long distances. You can also mix it in with your plant potting mix. It will take up extra space and help aerate the soil.
If you are especially innovative, you may consider reusing styrofoam for projects around the house!