Noctua
REST API used to access NoctuaSky features

Number of the day, random number, number facts and anything else you want to do with numbers.
Numbers API is a free Science & Math API that requires apiKey authentication, is served over HTTPS and does not support CORS, so it should be called from a server.
REST API access to every number tool on Math Tools — number theory checks, numeral system conversions, cardinal/ordinal/currency spelling, base conversion, digits of pi, and more. JSON responses, authenticated with a personal access token.
Details from math.tools.

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REST API used to access NoctuaSky features
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The Numbers API is provided by Math Tools (math.tools). REST API access to every number tool on Math Tools — number theory checks, numeral system conversions, cardinal/ordinal/currency spelling, base conversion, digits of pi, and more. JSON responses, authenticated with a personal access token.
Yes. The Numbers API is listed in the Science & Math category of the public-apis directory, which only includes APIs that are free or have a free tier. Check its documentation for rate limits and paid plans.
Yes. The Numbers API uses apiKey authentication, so you need to register for credentials before making requests.
Not directly. The Numbers API does not allow CORS, so call it from a server, serverless function or proxy instead of front-end JavaScript.
Yes. The Numbers API is served over HTTPS, so it's safe to use in production.