6824125 has 32 divisors (see below), whose sum is σ = 10632960. Its totient is φ = 4248000.

The previous prime is 6824101. The next prime is 6824141. The reversal of 6824125 is 5214286.

It is not a de Polignac number, because 6824125 - 2⁵ = 6824093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6824093 and 6824102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9271 + ... + 9979.

It is an arithmetic number, because the mean of its divisors is an integer number (332280).

Almost surely, 2^6824125 is an apocalyptic number.

It is an amenable number.

6824125 is a deficient number, since it is larger than the sum of its proper divisors (3808835).

6824125 is a wasteful number, since it uses less digits than its factorization.

6824125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 732 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 6824125 is about 2612.3026241230. The cubic root of 6824125 is about 189.6774305120.

The spelling of 6824125 in words is "six million, eight hundred twenty-four thousand, one hundred twenty-five".