As dearly loved children...
We are partakers of our parents' nature - and we are partakers in God's divine nature, if we are believers. However, God has some in-communicable traits that cannot be passed down to us. Omnipresence, Omniscience, Omnipotence, eternal.
But he has many communicable traits that can be passed to us - kindness, love, justice, patience. The Fruit of the Spirit, for starters.