821980125 has 48 divisors (see below), whose sum is σ = 1499779008. Its totient is φ = 433058400.

The previous prime is 821980091. The next prime is 821980139. The reversal of 821980125 is 521089128.

It is not a de Polignac number, because 821980125 - 2⁷ = 821979997 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 821980125.

It is a congruent number.

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, 88974 + ... + 97776.

It is an arithmetic number, because the mean of its divisors is an integer number (31245396).

Almost surely, 2^821980125 is an apocalyptic number.

It is an amenable number.

821980125 is a deficient number, since it is larger than the sum of its proper divisors (677798883).

821980125 is a wasteful number, since it uses less digits than its factorization.

821980125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8907 (or 8894 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 821980125 is about 28670.1957614523. The cubic root of 821980125 is about 936.7429621845.

The spelling of 821980125 in words is "eight hundred twenty-one million, nine hundred eighty thousand, one hundred twenty-five".