keeping faith with God: reverently loyal to him and to what he has pledged
Greek had more than one way to call something holy, and this word marks out a particular corner of it. It is not about being set apart for God's use, which is what ἅγιος means, and it is not about dealing fairly with other people, which is what δίκαιος means. It is about keeping faith with God: honoring him, and honoring what he has laid down and sworn. The New Testament writers felt the difference clearly enough that five of the eleven times this word appears, they set it right beside a word from the "righteous" family, one covering what is owed to God and the other what is owed to people.
In people, the word describes a life turned toward God: a church leader who is devout as well as upright, hands clean enough to be lifted in prayer, a missionary who can call God himself as witness to how he had behaved. Hebrews uses it of Jesus at a level no one else reaches, the high priest who is devout, innocent and undefiled.
Twice the word becomes a title. Peter and Paul both quote a psalm promising that God will not let "your Holy One" see decay, and both apply it to the risen Jesus. Behind the Greek stands a Hebrew word for the person who keeps covenant loyalty with God (חָסִיד), so the title says less about sacred status than about a bond God refuses to break.
Two uses reach past human character altogether. Revelation turns the word on God himself, who alone is holy, faithful and beyond reproach in every judgment he passes. And a sermon in Acts uses its plural as a noun for the sacred promises God swore to David, rendering a Hebrew phrase about covenant loyalty (חֶסֶד).