adjective
indebted
in-DET-id/ɪnˈdetɪd/
Owing repayment to someone for what has been received.
The rescued man feels deeply indebted to the person who saved his life.

Etymology
Being indebted originally meant being put into debt and owing money. That financial obligation extended to favors and services, where what one owes is gratitude rather than payment.
In context
As South Korean households are among the most indebted in the world, their debt is even greater than the entire country's economic output.
More examples
- Many graduates remain heavily indebted for years.
- Even after this payment, we are still indebted to several lenders.
- I am deeply indebted to my neighbors for their help.
Forms
indebtedness noun — The state of owing money or gratitude.