821936225 has 48 divisors (see below), whose sum is σ = 1147426560. Its totient is φ = 578880000.

The previous prime is 821936209. The next prime is 821936233. The reversal of 821936225 is 522639128.

821936225 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 821936225 - 2⁴ = 821936209 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3032840 + ... + 3033110.

It is an arithmetic number, because the mean of its divisors is an integer number (23904720).

Almost surely, 2^821936225 is an apocalyptic number.

It is an amenable number.

821936225 is a deficient number, since it is larger than the sum of its proper divisors (325490335).

821936225 is a wasteful number, since it uses less digits than its factorization.

821936225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 597 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 821936225 is about 28669.4301478073. The cubic root of 821936225 is about 936.7262854844.

It can be divided in two parts, 8219 and 36225, that added together give a palindrome (44444).

The spelling of 821936225 in words is "eight hundred twenty-one million, nine hundred thirty-six thousand, two hundred twenty-five".