827004413 has 2 divisors, whose sum is σ = 827004414. Its totient is φ = 827004412.

The previous prime is 827004359. The next prime is 827004419. The reversal of 827004413 is 314400728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 821796889 + 5207524 = 28667^2 + 2282^2 .

It is a cyclic number.

It is not a de Polignac number, because 827004413 - 2¹⁰ = 827003389 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827004419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413502206 + 413502207.

It is an arithmetic number, because the mean of its divisors is an integer number (413502207).

Almost surely, 2^827004413 is an apocalyptic number.

It is an amenable number.

827004413 is a deficient number, since it is larger than the sum of its proper divisors (1).

827004413 is an equidigital number, since it uses as much as digits as its factorization.

827004413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 827004413 is about 28757.6844165173. The cubic root of 827004413 is about 938.6476755355.

The spelling of 827004413 in words is "eight hundred twenty-seven million, four thousand, four hundred thirteen".