806857 has 2 divisors, whose sum is σ = 806858. Its totient is φ = 806856.

The previous prime is 806821. The next prime is 806893. The reversal of 806857 is 758608.

It is a balanced prime because it is at equal distance from previous prime (806821) and next prime (806893).

It can be written as a sum of positive squares in only one way, i.e., 741321 + 65536 = 861^2 + 256^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-806857 is a prime.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (806807) 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 as a sum of consecutive naturals, namely, 403428 + 403429.

It is an arithmetic number, because the mean of its divisors is an integer number (403429).

2⁸⁰⁶⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

806857 is a deficient number, since it is larger than the sum of its proper divisors (1).

806857 is an equidigital number, since it uses as much as digits as its factorization.

806857 is an odious number, because the sum of its binary digits is odd.

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

The square root of 806857 is about 898.2521917591. The cubic root of 806857 is about 93.0962506032.

The spelling of 806857 in words is "eight hundred six thousand, eight hundred fifty-seven".