825930121 has 9 divisors (see below), whose sum is σ = 856256583. Its totient is φ = 796645080.

The previous prime is 825930097. The next prime is 825930137. The reversal of 825930121 is 121039528.

The square root of 825930121 is 28739.

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

It can be written as a sum of positive squares in only one way, i.e., 433097721 + 392832400 = 20811^2 + 19820^2 .

It is not a de Polignac number, because 825930121 - 2⁵ = 825930089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825930181) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 832936 + ... + 833926.

Almost surely, 2^825930121 is an apocalyptic number.

825930121 is the 28739-th square number.

825930121 is the 14370-th centered octagonal number.

It is an amenable number.

825930121 is a deficient number, since it is larger than the sum of its proper divisors (30326462).

825930121 is an frugal number, since it uses more digits than its factorization.

825930121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The cubic root of 825930121 is about 938.2410599548.

Adding to 825930121 its reverse (121039528), we get a palindrome (946969649).

The spelling of 825930121 in words is "eight hundred twenty-five million, nine hundred thirty thousand, one hundred twenty-one".