827771057 has 2 divisors, whose sum is σ = 827771058. Its totient is φ = 827771056.

The previous prime is 827771051. The next prime is 827771117. The reversal of 827771057 is 750177728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 456206881 + 371564176 = 21359^2 + 19276^2 .

It is a cyclic number.

It is not a de Polignac number, because 827771057 - 2¹⁶ = 827705521 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 827770999 and 827771017.

It is not a weakly prime, because it can be changed into another prime (827771051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413885528 + 413885529.

It is an arithmetic number, because the mean of its divisors is an integer number (413885529).

Almost surely, 2^827771057 is an apocalyptic number.

It is an amenable number.

827771057 is a deficient number, since it is larger than the sum of its proper divisors (1).

827771057 is an equidigital number, since it uses as much as digits as its factorization.

827771057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192080, while the sum is 44.

The square root of 827771057 is about 28771.0107052220. The cubic root of 827771057 is about 938.9376322150.

The spelling of 827771057 in words is "eight hundred twenty-seven million, seven hundred seventy-one thousand, fifty-seven".