6803 has 2 divisors, whose sum is σ = 6804. Its totient is φ = 6802.

The previous prime is 6793. The next prime is 6823. The reversal of 6803 is 3086.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 6803 - 2⁸ = 6547 is a prime.

It is a Chen prime.

It is a magnanimous number.

It is a plaindrome in base 7 and base 14.

It is not a weakly prime, because it can be changed into another prime (6823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3401 + 3402.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

2⁶⁸⁰³ is an apocalyptic number.

6803 is a deficient number, since it is larger than the sum of its proper divisors (1).

6803 is an equidigital number, since it uses as much as digits as its factorization.

6803 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 6803 is about 82.4803006784. The cubic root of 6803 is about 18.9481504172.

Subtracting from 6803 its sum of digits (17), we obtain a triangular number (6786 = T₁₁₆).

Adding to 6803 its reverse (3086), we get a palindrome (9889).

The spelling of 6803 in words is "six thousand, eight hundred three".