6821825 has 12 divisors (see below), whose sum is σ = 8527728. Its totient is φ = 5413200.

The previous prime is 6821819. The next prime is 6821827. The reversal of 6821825 is 5281286.

6821825 = T₂₅₅ + T₂₅₆ + ... + T₃₈₅.

It is not a de Polignac number, because 6821825 - 2⁴ = 6821809 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6821791 and 6821800.

It is not an unprimeable number, because it can be changed into a prime (6821827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2234 + ... + 4316.

It is an arithmetic number, because the mean of its divisors is an integer number (710644).

Almost surely, 2^6821825 is an apocalyptic number.

It is an amenable number.

6821825 is a deficient number, since it is larger than the sum of its proper divisors (1705903).

6821825 is a wasteful number, since it uses less digits than its factorization.

6821825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2219 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 6821825 is about 2611.8623623767. The cubic root of 6821825 is about 189.6561185191.

The spelling of 6821825 in words is "six million, eight hundred twenty-one thousand, eight hundred twenty-five".