806872873 has 2 divisors, whose sum is σ = 806872874. Its totient is φ = 806872872.

The previous prime is 806872837. The next prime is 806872877. The reversal of 806872873 is 378278608.

806872873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 11597-th star number.

Together with previous prime (806872837) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 437771929 + 369100944 = 20923^2 + 19212^2 .

It is a cyclic number.

It is not a de Polignac number, because 806872873 - 2²¹ = 804775721 is a prime.

It is not a weakly prime, because it can be changed into another prime (806872877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403436436 + 403436437.

It is an arithmetic number, because the mean of its divisors is an integer number (403436437).

Almost surely, 2^806872873 is an apocalyptic number.

It is an amenable number.

806872873 is a deficient number, since it is larger than the sum of its proper divisors (1).

806872873 is an equidigital number, since it uses as much as digits as its factorization.

806872873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 903168, while the sum is 49.

The square root of 806872873 is about 28405.5077933840. The cubic root of 806872873 is about 930.9686108197.

The spelling of 806872873 in words is "eight hundred six million, eight hundred seventy-two thousand, eight hundred seventy-three".