🔼The name Quran in the Bible
The name Quran obviously doesn't occur in the Bible because Muhammad finished his work on the Quran six-hundred years after the death of Jesus Christ. But its relation to the Bible is obvious and important; from the array of main characters (the sources of which were mostly minority texts) to the cognateness of the languages.
Muhammad wrote the Quran in response to the thoroughly corrupted theologies of the "People of the Book": Medieval Jewry and Christendom, and since European cultures survived thanks to the sophistication of the Islamic culture, it's pretty safe to say that without the Quran there would probably not have been a Bible as we know it.
The Quran differs from the Bible on some serious key issues (such as the sonhood of Christ, which is even today wildly misunderstood by an overwhelming majority of Christians; see our article on the name Islam), but it positively radiates with respect for the "previous" revelations. The Quran was written as a fierce attack on those who disrespect divine revelation in general, and a friendly invitation to those of other faiths to discuss their respective findings. As the Quran says:
Argue with the People of the Book only virtuously, but tell the injust: "We believe that which was revealed to us and what was revealed to you. And our God and your God are One. To Him we subject ourselves".
🔼Etymology of the name Quran
The name Quran comes from a root that occurs all over the Semitic language spectrum. In the Arabic of Muhammad's time it meant to recite, and its derived noun would thus mean recitation. In the Hebrew of the Bible this same root is frequently employed: קרה (qara), meaning to call or proclaim:
The name Quran literally means Reading or Recitation. If it had occurred in the Bible, it would have meant He Who (That Which) Calls.