6723 has 10 divisors (see below), whose sum is σ = 10164. Its totient is φ = 4428.

The previous prime is 6719. The next prime is 6733. The reversal of 6723 is 3276.

It is a Cunningham number, because it is equal to 82^{2}-1.

It is not a de Polignac number, because 6723 - 2^{2} = 6719 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

6723 is a lucky number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 6696 and 6705.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 6723.

It is not an unprimeable number, because it can be changed into a prime (6703) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40 + ... + 122.

6723 is a deficient number, since it is larger than the sum of its proper divisors (3441).

6723 is an equidigital number, since it uses as much as digits as its factorization.

6723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 86 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 6723 is about 81.9939022123. The cubic root of 6723 is about 18.8735836547.

Adding to 6723 its reverse (3276), we get a palindrome (9999).

It can be divided in two parts, 672 and 3, that multiplied together give a triangular number (2016 = T_{63}).

The spelling of 6723 in words is "six thousand, seven hundred twenty-three".

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