6825084 has 48 divisors (see below), whose sum is σ = 18794496. Its totient is φ = 1886400.

The previous prime is 6825079. The next prime is 6825097. The reversal of 6825084 is 4805286.

6825084 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1294 + ... + 3914.

It is an arithmetic number, because the mean of its divisors is an integer number (391552).

Almost surely, 2^6825084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6825084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9397248).

6825084 is an abundant number, since it is smaller than the sum of its proper divisors (11969412).

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

6825084 is a wasteful number, since it uses less digits than its factorization.

6825084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 6825084 is about 2612.4861722122. The cubic root of 6825084 is about 189.6863152719.

It can be divided in two parts, 68 and 25084, that added together give a palindrome (25152).

The spelling of 6825084 in words is "six million, eight hundred twenty-five thousand, eighty-four".