6821325 has 72 divisors (see below), whose sum is σ = 14391936. Its totient is φ = 3024000.

The previous prime is 6821303. The next prime is 6821383. The reversal of 6821325 is 5231286.

It is not a de Polignac number, because 6821325 - 2⁶ = 6821261 is a prime.

6821325 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96040 + ... + 96110.

It is an arithmetic number, because the mean of its divisors is an integer number (199888).

Almost surely, 2^6821325 is an apocalyptic number.

It is an amenable number.

6821325 is an abundant number, since it is smaller than the sum of its proper divisors (7570611).

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

6821325 is a wasteful number, since it uses less digits than its factorization.

6821325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 6821325 is about 2611.7666434810. The cubic root of 6821325 is about 189.6514848433.

The spelling of 6821325 in words is "six million, eight hundred twenty-one thousand, three hundred twenty-five".