8006857 has 2 divisors, whose sum is σ = 8006858. Its totient is φ = 8006856.

The previous prime is 8006827. The next prime is 8006861. The reversal of 8006857 is 7586008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6885376 + 1121481 = 2624^2 + 1059^2 .

It is a cyclic number.

It is not a de Polignac number, because 8006857 - 2¹⁹ = 7482569 is a prime.

It is not a weakly prime, because it can be changed into another prime (8006827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4003428 + 4003429.

It is an arithmetic number, because the mean of its divisors is an integer number (4003429).

Almost surely, 2^8006857 is an apocalyptic number.

It is an amenable number.

8006857 is a deficient number, since it is larger than the sum of its proper divisors (1).

8006857 is an equidigital number, since it uses as much as digits as its factorization.

8006857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 8006857 is about 2829.6390229144. The cubic root of 8006857 is about 200.0571253486.

The spelling of 8006857 in words is "eight million, six thousand, eight hundred fifty-seven".