806805 has 12 divisors (see below), whose sum is σ = 1398540. Its totient is φ = 430272.

The previous prime is 806801. The next prime is 806807. The reversal of 806805 is 508608.

It can be written as a sum of positive squares in 2 ways, for example, as 367236 + 439569 = 606^2 + 663^2 .

It is not a de Polignac number, because 806805 - 2² = 806801 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8920 + ... + 9009.

It is an arithmetic number, because the mean of its divisors is an integer number (116545).

2⁸⁰⁶⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

806805 is a deficient number, since it is larger than the sum of its proper divisors (591735).

806805 is a wasteful number, since it uses less digits than its factorization.

806805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17940 (or 17937 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 806805 is about 898.2232461922. The cubic root of 806805 is about 93.0942506169.

The spelling of 806805 in words is "eight hundred six thousand, eight hundred five".