The equivalent name, Mighty One of Jacob, is used of God more often than Mighty One of Israel. The names Israel and Jacob are often interchangeable since they belonged to the same person. Sometimes the name “Israel” refers to the nation descended from the man Jacob (Israel).
The Hebrew word ’avir comes from a more ancient word for soaring like a bird. It implies strength.
Mighty One of Israel in Hebrew:
Strong’s Concordance numbers: 46, 3478
Bible reference: Isa. 1:24
Therefore the Lord God of hosts,
The Mighty One of Israel, declares,
“Ah, I will be relieved of My adversaries
And avenge Myself on My foes.” (Isaiah 1:24)
There are other Hebrew words that English Bibles translate using the names Mighty One or the Mighty One, God, the LORD, but they have different root meanings.