6838 has 8 divisors (see below), whose sum is σ = 11088. Its totient is φ = 3144.

The previous prime is 6833. The next prime is 6841. The reversal of 6838 is 8386.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6833) by changing a digit.

6838 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106 + ... + 157.

It is an arithmetic number, because the mean of its divisors is an integer number (1386).

2⁶⁸³⁸ is an apocalyptic number.

6838 is a deficient number, since it is larger than the sum of its proper divisors (4250).

6838 is a wasteful number, since it uses less digits than its factorization.

6838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278.

The product of its digits is 1152, while the sum is 25.

The square root of 6838 is about 82.6922003577. The cubic root of 6838 is about 18.9805895954.

The spelling of 6838 in words is "six thousand, eight hundred thirty-eight".