821327125 has 32 divisors (see below), whose sum is σ = 1106576640. Its totient is φ = 606760000.

The previous prime is 821327123. The next prime is 821327149. The reversal of 821327125 is 521723128.

821327125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 821327125 - 2¹ = 821327123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821327123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78450 + ... + 88300.

It is an arithmetic number, because the mean of its divisors is an integer number (34580520).

Almost surely, 2^821327125 is an apocalyptic number.

It is an amenable number.

821327125 is a deficient number, since it is larger than the sum of its proper divisors (285249515).

821327125 is a wasteful number, since it uses less digits than its factorization.

821327125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9918 (or 9908 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 821327125 is about 28658.8053658906. The cubic root of 821327125 is about 936.4948397185.

The spelling of 821327125 in words is "eight hundred twenty-one million, three hundred twenty-seven thousand, one hundred twenty-five".