823221825 has 24 divisors (see below), whose sum is σ = 1365213216. Its totient is φ = 437712000.

The previous prime is 823221793. The next prime is 823221829. The reversal of 823221825 is 528122328.

It is not a de Polignac number, because 823221825 - 2⁵ = 823221793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (823221829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8245 + ... + 41405.

It is an arithmetic number, because the mean of its divisors is an integer number (56883884).

Almost surely, 2^823221825 is an apocalyptic number.

It is an amenable number.

823221825 is a deficient number, since it is larger than the sum of its proper divisors (541991391).

823221825 is a wasteful number, since it uses less digits than its factorization.

823221825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33505 (or 33500 counting only the distinct ones).

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

The square root of 823221825 is about 28691.8424817926. The cubic root of 823221825 is about 937.2144125669.

The spelling of 823221825 in words is "eight hundred twenty-three million, two hundred twenty-one thousand, eight hundred twenty-five".