8820825 has 48 divisors (see below), whose sum is σ = 16040640. Its totient is φ = 4250880.

The previous prime is 8820821. The next prime is 8820829. The reversal of 8820825 is 5280288.

8820825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8820821) and next prime (8820829).

It is not a de Polignac number, because 8820825 - 2² = 8820821 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8820821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80871 + ... + 80979.

It is an arithmetic number, because the mean of its divisors is an integer number (334180).

Almost surely, 2^8820825 is an apocalyptic number.

It is an amenable number.

8820825 is a deficient number, since it is larger than the sum of its proper divisors (7219815).

8820825 is a wasteful number, since it uses less digits than its factorization.

8820825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 8820825 is about 2969.9873737105. The cubic root of 8820825 is about 206.6187526223.

The spelling of 8820825 in words is "eight million, eight hundred twenty thousand, eight hundred twenty-five".