827130321 has 12 divisors (see below), whose sum is σ = 1195847172. Its totient is φ = 550910976.

The previous prime is 827130221. The next prime is 827130323. The reversal of 827130321 is 123031728.

It can be written as a sum of positive squares in 2 ways, for example, as 594140625 + 232989696 = 24375^2 + 15264^2 .

It is not a de Polignac number, because 827130321 - 2⁷ = 827130193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (827130323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32016 + ... + 51761.

It is an arithmetic number, because the mean of its divisors is an integer number (99653931).

Almost surely, 2^827130321 is an apocalyptic number.

It is an amenable number.

827130321 is a deficient number, since it is larger than the sum of its proper divisors (368716851).

827130321 is a wasteful number, since it uses less digits than its factorization.

827130321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84880 (or 84877 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 827130321 is about 28759.8734524337. The cubic root of 827130321 is about 938.6953081932.

The spelling of 827130321 in words is "eight hundred twenty-seven million, one hundred thirty thousand, three hundred twenty-one".