806801 has 2 divisors, whose sum is σ = 806802. Its totient is φ = 806800.

The previous prime is 806791. The next prime is 806807. The reversal of 806801 is 108608.

806801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 801025 + 5776 = 895^2 + 76^2 .

It is a cyclic number.

It is not a de Polignac number, because 806801 - 2⁶ = 806737 is a prime.

It is a Chen prime.

It is equal to p₆₄₄₅₄ and since 806801 and 64454 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (806807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403400 + 403401.

It is an arithmetic number, because the mean of its divisors is an integer number (403401).

2⁸⁰⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

806801 is a deficient number, since it is larger than the sum of its proper divisors (1).

806801 is an equidigital number, since it uses as much as digits as its factorization.

806801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 806801 is about 898.2210195715. The cubic root of 806801 is about 93.0940967682.

The spelling of 806801 in words is "eight hundred six thousand, eight hundred one".