6673 is a prime number.
6673 is a prime whose base 3 representation (100011011) also is the base 2 representation of a prime (A235265).
6673 is a prime that is 3 greater than a triangular number (A159047).
6673 is a prime such that the sum of the predecessor and successor primes is divisible by 29 (A112859). It is also divisible by 23 (A112847).
6673 is a prime that can be expressed as a sum of distinct powers of 3 (A077717).
6673 has a representation as a sum of two squares: 6673 = 522 + 632.
6673 is the hypotenuse of a primitive Pythagorean triple: 66732 = 12652 + 65522.