6820857 has 24 divisors (see below), whose sum is σ = 10430784. Its totient is φ = 4286304.

The previous prime is 6820841. The next prime is 6820873. The reversal of 6820857 is 7580286.

6820857 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6820841) and next prime (6820873).

It is not a de Polignac number, because 6820857 - 2⁴ = 6820841 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6820817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16983 + ... + 17379.

It is an arithmetic number, because the mean of its divisors is an integer number (434616).

Almost surely, 2^6820857 is an apocalyptic number.

It is an amenable number.

6820857 is a deficient number, since it is larger than the sum of its proper divisors (3609927).

6820857 is a wasteful number, since it uses less digits than its factorization.

6820857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6820857 is about 2611.6770474161. The cubic root of 6820857 is about 189.6471475176.

It can be divided in two parts, 68208 and 57, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 6820857 in words is "six million, eight hundred twenty thousand, eight hundred fifty-seven".