6801 has 4 divisors (see below), whose sum is σ = 9072. Its totient is φ = 4532.

The previous prime is 6793. The next prime is 6803. The reversal of 6801 is 1086.

6801 = T₁₈ + T₁₉ + ... + T₃₅.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 6801 - 2³ = 6793 is a prime.

It is a D-number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6803) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1131 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

2⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

6801 is a deficient number, since it is larger than the sum of its proper divisors (2271).

6801 is a wasteful number, since it uses less digits than its factorization.

6801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 6801 is about 82.4681756801. The cubic root of 6801 is about 18.9462933925.

Subtracting from 6801 its sum of digits (15), we obtain a triangular number (6786 = T₁₁₆).

Adding to 6801 its reverse (1086), we get a palindrome (7887).

The spelling of 6801 in words is "six thousand, eight hundred one".