Preternatural (adjective)

1. Being beyond what is natural; exceeding the ordinary, normal, or established standard or type.
2. Being apparently supernatural or miraculous.

Origin:

Late middle english (in the sense "beyond what is normal or natural"): from old french preternaturel, from preter- "beyond" + naturel "natural".

Examples:

1. The storm was of preternatural violence.
2. The statue was said to have preternatural powers.
3. Her voice had a preternatural quality that made it hard to ignore.
4. His eyes had a preternatural gleam in them.
5. The dog had a preternatural sense of smell that helped him track his prey.