827814961 has 2 divisors, whose sum is σ = 827814962. Its totient is φ = 827814960.

The previous prime is 827814943. The next prime is 827814991. The reversal of 827814961 is 169418728.

827814961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 823690000 + 4124961 = 28700^2 + 2031^2 .

It is a cyclic number.

It is not a de Polignac number, because 827814961 - 2⁷ = 827814833 is a prime.

It is not a weakly prime, because it can be changed into another prime (827814931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413907480 + 413907481.

It is an arithmetic number, because the mean of its divisors is an integer number (413907481).

Almost surely, 2^827814961 is an apocalyptic number.

It is an amenable number.

827814961 is a deficient number, since it is larger than the sum of its proper divisors (1).

827814961 is an equidigital number, since it uses as much as digits as its factorization.

827814961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 193536, while the sum is 46.

The square root of 827814961 is about 28771.7736853326. The cubic root of 827814961 is about 938.9542319696.

The spelling of 827814961 in words is "eight hundred twenty-seven million, eight hundred fourteen thousand, nine hundred sixty-one".