806817 has 16 divisors (see below), whose sum is σ = 1225728. Its totient is φ = 467280.

The previous prime is 806807. The next prime is 806821. The reversal of 806817 is 718608.

806817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 806817 - 2⁴ = 806801 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 806817.

It is not an unprimeable number, because it can be changed into a prime (806807) 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, 228 + ... + 1290.

It is an arithmetic number, because the mean of its divisors is an integer number (76608).

2⁸⁰⁶⁸¹⁷ is an apocalyptic number.

It is an amenable number.

806817 is a deficient number, since it is larger than the sum of its proper divisors (418911).

806817 is a wasteful number, since it uses less digits than its factorization.

806817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 806817 is about 898.2299260212. The cubic root of 806817 is about 93.0947121598.

Subtracting from 806817 its reverse (718608), we obtain a square (88209 = 297²).

The spelling of 806817 in words is "eight hundred six thousand, eight hundred seventeen".