6825 has 24 divisors (see below), whose sum is σ = 13888. Its totient is φ = 2880.

The previous prime is 6823. The next prime is 6827. The reversal of 6825 is 5286.

It is a happy number.

6825 is nontrivially palindromic in base 4 and base 8.

It is an interprime number because it is at equal distance from previous prime (6823) and next prime (6827).

It is not a de Polignac number, because 6825 - 2¹ = 6823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (6823) 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 23 ways as a sum of consecutive naturals, for example, 519 + ... + 531.

2⁶⁸²⁵ is an apocalyptic number.

6825 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6825 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (6944).

6825 is a wasteful number, since it uses less digits than its factorization.

6825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 28 counting only the distinct ones).

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

The square root of 6825 is about 82.6135582093. The cubic root of 6825 is about 18.9685537078.

6825 divided by its sum of digits (21) gives a triangular number (325 = T₂₅).

It can be divided in two parts, 6 and 825, that multiplied together give a triangular number (4950 = T₉₉).

The spelling of 6825 in words is "six thousand, eight hundred twenty-five".