363 (number)

In mathematics

• It is an odd, composite, positive, real integer, composed of a prime and a prime squared.
• 363 is a deficient number and a perfect totient number.
• 363 is a palindromic number in bases 3, 10, 11 and 32.
• 363 is a repdigit in base 32.
• The Mertens function returns 0.
• Any subset of its digits is divisible by three.
• 363 is the sum of nine consecutive primes.
• 363 is the sum of five consecutive powers of 3.
• 363 can be expressed as the sum of three squares in four different ways: 11² + 11² + 11², 5² + 7² + 17², 1² + 1² + 19², and 13² + 13² + 5².
• 363 cubits is the solution given to Rhind Mathematical Papyrus question 50 – find the side length of an octagon with the same area as a circle 9 khet in diameter .