The name Amram in the Bible
There are two Amrams mentioned in the Bible. The lesser known Amram is named among the Israelites who married and divorced foreign wives during the purification rallies of Ezra (Ezra 10:34). The famous Amram is the father of Moses, Aaron and Miriam. He is a son of Kohath, who is a son of Levi.
However, because Amram's wife Jochebed was his father's sister (Exodus 6:20) and a daughter of Levi (Numb 26:59), Moses was both a grandson and a great-grandson of Levi.
(Actually, there are some generations missing because between Levi and Moses there are about four centuries).
Etymology of the name Amram
As indicated by some scholars, the name Amram clearly resembles the root group עמר ('aram):
The additional letter mem could be a remnant of a plural form, or even some other word. Still other scholars insist that the name Amram doesn't come from עמר, but consist of two elements:
If the name Amram consists of two elements, the first element comes from the assumed root עמם:
The second part of the name Amram comes from the root-verb רום (rum), meaning high or lofty:
Jones' Dictionary of Old Testament Proper Names reads People Of Exaltation. NOBSE Study Bible Name List reads A People Exalted.
BDB Theological Dictionary lists the above mentioned possibility, but also insists on the existence of the root עמר III, which in cognate languages means to live, to live long or even to worship.
BDB doesn't translate the name, or explains where the letter mem may have come from, but it may be a remnant of a plural. That way the name Amram may also mean Long Lives or Worshippings.