827273641 has 2 divisors, whose sum is σ = 827273642. Its totient is φ = 827273640.

The previous prime is 827273627. The next prime is 827273647. The reversal of 827273641 is 146372728.

827273641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 691900416 + 135373225 = 26304^2 + 11635^2 .

It is a cyclic number.

It is not a de Polignac number, because 827273641 - 2⁵ = 827273609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 827273594 and 827273603.

It is not a weakly prime, because it can be changed into another prime (827273647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413636820 + 413636821.

It is an arithmetic number, because the mean of its divisors is an integer number (413636821).

Almost surely, 2^827273641 is an apocalyptic number.

It is an amenable number.

827273641 is a deficient number, since it is larger than the sum of its proper divisors (1).

827273641 is an equidigital number, since it uses as much as digits as its factorization.

827273641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 112896, while the sum is 40.

The square root of 827273641 is about 28762.3650105481. The cubic root of 827273641 is about 938.7495221578.

It can be divided in two parts, 82727 and 3641, that added together give a palindrome (86368).

The spelling of 827273641 in words is "eight hundred twenty-seven million, two hundred seventy-three thousand, six hundred forty-one".