806789 has 2 divisors, whose sum is σ = 806790. Its totient is φ = 806788.

The previous prime is 806783. The next prime is 806791. The reversal of 806789 is 987608.

806789 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., 748225 + 58564 = 865^2 + 242^2 .

It is a cyclic number.

It is not a de Polignac number, because 806789 - 2¹⁶ = 741253 is a prime.

Together with 806791, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (806783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403394 + 403395.

It is an arithmetic number, because the mean of its divisors is an integer number (403395).

2⁸⁰⁶⁷⁸⁹ is an apocalyptic number.

It is an amenable number.

806789 is a deficient number, since it is larger than the sum of its proper divisors (1).

806789 is an equidigital number, since it uses as much as digits as its factorization.

806789 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 806789 is about 898.2143396762. The cubic root of 806789 is about 93.0936352192.

The spelling of 806789 in words is "eight hundred six thousand, seven hundred eighty-nine".