6724 has 9 divisors (see below), whose sum is σ = 12061. Its totient is φ = 3280.

The previous prime is 6719. The next prime is 6733. The reversal of 6724 is 4276.

6724 = T₈₁ + T₈₂.

The square root of 6724 is 82.

It is a perfect power (a square), and thus also a powerful number.

6724 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in only one way, i.e., 324 + 6400 = 18^2 + 80^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 144 + ... + 184.

6724 is the 82-nd square number.

It is an amenable number.

6724 is a deficient number, since it is larger than the sum of its proper divisors (5337).

6724 is a wasteful number, since it uses less digits than its factorization.

6724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 43 counting only the distinct ones).

The product of its digits is 336, while the sum is 19.

The cubic root of 6724 is about 18.8745193802.

It can be divided in two parts, 672 and 4, that added together give a palindrome (676).

The spelling of 6724 in words is "six thousand, seven hundred twenty-four".