Praying to the Father, through Jesus Christ, brings us into the presence of the most holy, positive, righteous, peaceful, serving, giving, humble, merciful, and unchanging attitudes and character that exist in the entire universe! The notes at Psalm 16:11 demonstrate a simplified effect of this in how the attitudes of people we spend time with affect us. Whether that person's attitude is positive or negative, unless we resist or our attitude is strong, our attitude tends to echo the strength of the other's attitudes. If the other is personally close to us—especially if we deem the relationship important to us—the effect of the transfer of attitudes intensifies. Similarly, physical nearness also intensifies the effect.
This is why men reflect Satan's spirit. Satan "broadcasts" it over our entire environment here on earth, thus, we are always "near" it. In fact, God has willed that at this time it will have no strong competition among the unconverted. Even we cannot entirely escape its influence; even when in God's presence, we can bring that spirit with us.
Notice that Hebrews 10:22 says, "[L]et us draw near. . . ." Nearness enhances the transfer of the qualities of God's Spirit, and He greatly desires we have these qualities because they will make us like Him. Being in His presence is a primary way this is accomplished. This is why a person can leave God's presence in prayer at peace, full of joy, or filled with confidence—or on the other hand, chastened, having been led to remorse and repentance. Drawing near to God has little to do with distance and everything to do with deepening our relationship with Him. As this occurs, prayer begins to change things—us.