6816801 has 16 divisors (see below), whose sum is σ = 9734400. Its totient is φ = 4230288.

The previous prime is 6816787. The next prime is 6816829. The reversal of 6816801 is 1086186.

6816801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6816801 - 2⁶ = 6816737 is a prime.

It is a Curzon number.

6816801 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6816841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2350 + ... + 4376.

It is an arithmetic number, because the mean of its divisors is an integer number (608400).

Almost surely, 2^6816801 is an apocalyptic number.

It is an amenable number.

6816801 is a deficient number, since it is larger than the sum of its proper divisors (2917599).

6816801 is a wasteful number, since it uses less digits than its factorization.

6816801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 6816801 is about 2610.9004193956. The cubic root of 6816801 is about 189.6095490482.

The spelling of 6816801 in words is "six million, eight hundred sixteen thousand, eight hundred one".