Apama was of Greek Macedonian and Persian descent. She was the child born to the King Demetrius II Aetolicus and Queen Stratonice of Macedon. Her paternal grandparents were the Antigonid Monarchs Antigonus II Gonatas and Phila, while her maternal grandparents were the Seleucid Monarchs Antiochus I Soter and Stratonice of Syria. From her father’s second marriage, she had a younger paternal half-brother called Philip V of Macedon who would eventually succeed as king. Apama was the namesake of her maternal aunt Apama II, who was the wife of King Magas of Cyrene and mother of the Ptolemaic Queen Berenice II. Apama was born and raised in Macedonia.
Her father formed an alliance with the Greek King of Anatolia Prusias I of Bithynia. Apama later married Prusias I and through her marriage, became Queen of Bithynia. Apama bore Prusias I, a son and his successor called Prusias II of Bithynia, sometimes known as Prusias II Cynegus, Cynegus means the Hunter.
Her husband was also an ally to her half brother, Philip V. After Philip V, took the port city of Prusa, her husband rebuilt the city around 202 BC and renamed the city Apamea Myrlea, which still bears her name. Her daughter-in-law was her niece and namesake Apame IV. Apame IV was one of the daughters of her half brother and later married her son.