6857 has 2 divisors, whose sum is σ = 6858. Its totient is φ = 6856.
The previous prime is 6841. The next prime is 6863. The reversal of 6857 is 7586.
6857 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 3721 + 3136 = 61^2 + 56^2 .
It is a cyclic number.
It is not a de Polignac number, because 6857 - 24 = 6841 is a prime.
It is not a weakly prime, because it can be changed into another prime (6827) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3428 + 3429.
It is an arithmetic number, because the mean of its divisors is an integer number (3429).
26857 is an apocalyptic number.
It is an amenable number.
6857 is a deficient number, since it is larger than the sum of its proper divisors (1).
6857 is an equidigital number, since it uses as much as digits as its factorization.
6857 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 1680, while the sum is 26.
The square root of 6857 is about 82.8070045346. The cubic root of 6857 is about 18.9981530984.
Subtracting 6857 from its reverse (7586), we obtain a 6-th power (729 = 36).
It can be divided in two parts, 68 and 57, that added together give a cube (125 = 53).
The spelling of 6857 in words is "six thousand, eight hundred fifty-seven".
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