6858 has 16 divisors (see below), whose sum is σ = 15360. Its totient is φ = 2268.

The previous prime is 6857. The next prime is 6863. The reversal of 6858 is 8586.

It is a Cunningham number, because it is equal to 19³-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6857) 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 in 7 ways as a sum of consecutive naturals, for example, 10 + ... + 117.

It is an arithmetic number, because the mean of its divisors is an integer number (960).

2⁶⁸⁵⁸ is an apocalyptic number.

6858 is an abundant number, since it is smaller than the sum of its proper divisors (8502).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680).

6858 is a wasteful number, since it uses less digits than its factorization.

6858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 6858 is about 82.8130424511. The cubic root of 6858 is about 18.9990765941. Note that the first 3 decimals are identical.

Adding to 6858 its product of digits (1920), we get a palindrome (8778).

Subtracting 6858 from its reverse (8586), we obtain a cube (1728 = 12³).

The spelling of 6858 in words is "six thousand, eight hundred fifty-eight".