6824 has 8 divisors (see below), whose sum is σ = 12810. Its totient is φ = 3408.

The previous prime is 6823. The next prime is 6827. The reversal of 6824 is 4286.

It can be written as a sum of positive squares in only one way, i.e., 6724 + 100 = 82^2 + 10^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 6796 and 6805.

It is not an unprimeable number, because it can be changed into a prime (6823) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 419 + ... + 434.

2⁶⁸²⁴ is an apocalyptic number.

It is an amenable number.

6824 is a deficient number, since it is larger than the sum of its proper divisors (5986).

6824 is a wasteful number, since it uses less digits than its factorization.

6824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 855 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 6824 is about 82.6075057123. The cubic root of 6824 is about 18.9676272375.

It can be divided in two parts, 682 and 4, that added together give a palindrome (686).

The spelling of 6824 in words is "six thousand, eight hundred twenty-four".