827901413 has 2 divisors, whose sum is σ = 827901414. Its totient is φ = 827901412.

The previous prime is 827901341. The next prime is 827901419. The reversal of 827901413 is 314109728.

827901413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (827901341) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 662444644 + 165456769 = 25738^2 + 12863^2 .

It is a cyclic number.

It is not a de Polignac number, because 827901413 - 2¹⁴ = 827885029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827901419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413950706 + 413950707.

It is an arithmetic number, because the mean of its divisors is an integer number (413950707).

Almost surely, 2^827901413 is an apocalyptic number.

It is an amenable number.

827901413 is a deficient number, since it is larger than the sum of its proper divisors (1).

827901413 is an equidigital number, since it uses as much as digits as its factorization.

827901413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 827901413 is about 28773.2760213362. The cubic root of 827901413 is about 938.9869170701.

The spelling of 827901413 in words is "eight hundred twenty-seven million, nine hundred one thousand, four hundred thirteen".