806009177 has 2 divisors, whose sum is σ = 806009178. Its totient is φ = 806009176.

The previous prime is 806009143. The next prime is 806009179. The reversal of 806009177 is 771900608.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 805197376 + 811801 = 28376^2 + 901^2 .

It is a cyclic number.

It is not a de Polignac number, because 806009177 - 2¹⁶ = 805943641 is a prime.

Together with 806009179, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 806009177.

It is not a weakly prime, because it can be changed into another prime (806009179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403004588 + 403004589.

It is an arithmetic number, because the mean of its divisors is an integer number (403004589).

Almost surely, 2^806009177 is an apocalyptic number.

It is an amenable number.

806009177 is a deficient number, since it is larger than the sum of its proper divisors (1).

806009177 is an equidigital number, since it uses as much as digits as its factorization.

806009177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 806009177 is about 28390.3007557159. The cubic root of 806009177 is about 930.6363152116.

The spelling of 806009177 in words is "eight hundred six million, nine thousand, one hundred seventy-seven".