The Apharsachites recall the "Apharsites" and the "Apharsathchites" of Ezra 4:9. Possibly all the three forms are provincial variants of the more correct Parsaya, which appears in Daniel (Daniel 6:28) as the Chaldaean equivalent of "Persian."
Here the Apharsachite "companions" of Tatnai and Shethar-boznai are perhaps the actual Persians who formed their body-guard and their train.