827671321 has 2 divisors, whose sum is σ = 827671322. Its totient is φ = 827671320.

The previous prime is 827671297. The next prime is 827671421. The reversal of 827671321 is 123176728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 764246025 + 63425296 = 27645^2 + 7964^2 .

It is a cyclic number.

It is not a de Polignac number, because 827671321 - 2⁵ = 827671289 is a prime.

It is not a weakly prime, because it can be changed into another prime (827671121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413835660 + 413835661.

It is an arithmetic number, because the mean of its divisors is an integer number (413835661).

Almost surely, 2^827671321 is an apocalyptic number.

It is an amenable number.

827671321 is a deficient number, since it is larger than the sum of its proper divisors (1).

827671321 is an equidigital number, since it uses as much as digits as its factorization.

827671321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28224, while the sum is 37.

The square root of 827671321 is about 28769.2773805669. The cubic root of 827671321 is about 938.8999206424.

It can be divided in two parts, 8276 and 71321, that added together give a palindrome (79597).

The spelling of 827671321 in words is "eight hundred twenty-seven million, six hundred seventy-one thousand, three hundred twenty-one".