6835 has 4 divisors (see below), whose sum is σ = 8208. Its totient is φ = 5464.

The previous prime is 6833. The next prime is 6841. The reversal of 6835 is 5386.

6835 = T₆₆ + T₆₇ + T₆₈.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5386 = 2 ⋅2693.

It is a cyclic number.

It is not a de Polignac number, because 6835 - 2¹ = 6833 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 679 + ... + 688.

It is an arithmetic number, because the mean of its divisors is an integer number (2052).

6835 is the 68-th centered triangular number.

6835 is a deficient number, since it is larger than the sum of its proper divisors (1373).

6835 is a wasteful number, since it uses less digits than its factorization.

6835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372.

The product of its digits is 720, while the sum is 22.

The square root of 6835 is about 82.6740588093. The cubic root of 6835 is about 18.9778134377.

Adding to 6835 its reverse (5386), we get a palindrome (12221).

It can be divided in two parts, 6 and 835, that added together give a square (841 = 29²).

The spelling of 6835 in words is "six thousand, eight hundred thirty-five".