827802473 has 2 divisors, whose sum is σ = 827802474. Its totient is φ = 827802472.

The previous prime is 827802457. The next prime is 827802529. The reversal of 827802473 is 374208728.

827802473 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., 791465689 + 36336784 = 28133^2 + 6028^2 .

It is a cyclic number.

It is not a de Polignac number, because 827802473 - 2⁴ = 827802457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 827802473.

It is not a weakly prime, because it can be changed into another prime (827802413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413901236 + 413901237.

It is an arithmetic number, because the mean of its divisors is an integer number (413901237).

Almost surely, 2^827802473 is an apocalyptic number.

It is an amenable number.

827802473 is a deficient number, since it is larger than the sum of its proper divisors (1).

827802473 is an equidigital number, since it uses as much as digits as its factorization.

827802473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150528, while the sum is 41.

The square root of 827802473 is about 28771.5566662633. The cubic root of 827802473 is about 938.9495104154.

The spelling of 827802473 in words is "eight hundred twenty-seven million, eight hundred two thousand, four hundred seventy-three".