806 has 8 divisors (see below), whose sum is σ = 1344. Its totient is φ = 360.

The previous prime is 797. The next prime is 809. The reversal of 806 is 608.

Adding to 806 its sum of digits (14), we get a triangular number (820 = T_{40}).

806 = T_{4} + T_{5} + ... +
T_{16}.

It is a happy number.

806 is nontrivially palindromic in base 5.

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

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a plaindrome in base 8 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 41.

It is an arithmetic number, because the mean of its divisors is an integer number (168).

806 is a deficient number, since it is larger than the sum of its proper divisors (538).

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

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

The sum of its prime factors is 46.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 806 is about 28.3901391332. The cubic root of 806 is about 9.3063278321.

The spelling of 806 in words is "eight hundred six", and thus it is an aban number and an oban number.

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