6852 has 12 divisors (see below), whose sum is σ = 16016. Its totient is φ = 2280.

The previous prime is 6841. The next prime is 6857. The reversal of 6852 is 2586.

It is a happy number.

6852 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (6857) by changing a digit.

6852 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, 274 + ... + 297.

It is an amenable number.

6852 is an abundant number, since it is smaller than the sum of its proper divisors (9164).

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 (8008).

6852 is a wasteful number, since it uses less digits than its factorization.

6852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 576 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 6852 is about 82.7768083463. The cubic root of 6852 is about 18.9935342727.

It can be divided in two parts, 68 and 52, that added together give a triangular number (120 = T₁₅).

The spelling of 6852 in words is "six thousand, eight hundred fifty-two".