8821905625 has 75 divisors (see below), whose sum is σ = 12683129943. Its totient is φ = 6131424000.

The previous prime is 8821905613. The next prime is 8821905641. The reversal of 8821905625 is 5265091288.

The square root of 8821905625 is 93925.

It is a perfect power (a square), and thus also a powerful number.

8821905625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 37 ways, for example, as 3677573449 + 5144332176 = 60643^2 + 71724^2 .

It is not a de Polignac number, because 8821905625 - 2¹¹ = 8821903577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 518935617 + ... + 518935633.

Almost surely, 2^8821905625 is an apocalyptic number.

8821905625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8821905625 is the 93925-th square number.

8821905625 is the 46963-rd centered octagonal number.

It is an amenable number.

8821905625 is a deficient number, since it is larger than the sum of its proper divisors (3861224318).

8821905625 is an frugal number, since it uses more digits than its factorization.

8821905625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The cubic root of 8821905625 is about 2066.2718978744.

The spelling of 8821905625 in words is "eight billion, eight hundred twenty-one million, nine hundred five thousand, six hundred twenty-five".