828230841 has 27 divisors (see below), whose sum is σ = 1226105517. Its totient is φ = 538742880.

The previous prime is 828230797. The next prime is 828230857. The reversal of 828230841 is 148032828.

It is a happy number.

The square root of 828230841 is 28779.

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

It can be written as a sum of positive squares in 4 ways, for example, as 157628025 + 670602816 = 12555^2 + 25896^2 .

It is not a de Polignac number, because 828230841 - 2¹⁹ = 827706553 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 828230796 and 828230805.

It is not an unprimeable number, because it can be changed into a prime (828230861) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 4575771 + ... + 4575951.

Almost surely, 2^828230841 is an apocalyptic number.

828230841 is the 28779-th square number.

828230841 is the 14390-th centered octagonal number.

It is an amenable number.

828230841 is a deficient number, since it is larger than the sum of its proper divisors (397874676).

828230841 is an equidigital number, since it uses as much as digits as its factorization.

828230841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The cubic root of 828230841 is about 939.1114437985. Note that the first 3 decimals are identical.

Multiplying 828230841 by its sum of digits (36), we get a square (29816310276 = 172674²).

The spelling of 828230841 in words is "eight hundred twenty-eight million, two hundred thirty thousand, eight hundred forty-one".