Scripture says that He has given us His divine nature - II Peter 1:3-4.
To the Hebrew, a person’s robe represents the person. By taking off my robe and giving it to you, I’m symbolically saying, “I’m giving you all myself. My total being and my life, I pledge to you.” And then you would do the same to me.
Also read Colossians 3:8-10; 12-14 for more information on His garments that are given to us, and that we need to reach for and put on ourselves!