821317413 has 16 divisors (see below), whose sum is σ = 1325151360. Its totient is φ = 441716736.

The previous prime is 821317363. The next prime is 821317429. The reversal of 821317413 is 314713128.

821317413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 821317413 - 2¹³ = 821309221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821317213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149948 + ... + 1150661.

It is an arithmetic number, because the mean of its divisors is an integer number (82821960).

Almost surely, 2^821317413 is an apocalyptic number.

It is an amenable number.

821317413 is a deficient number, since it is larger than the sum of its proper divisors (503833947).

821317413 is a wasteful number, since it uses less digits than its factorization.

821317413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300636.

The product of its digits is 4032, while the sum is 30.

The square root of 821317413 is about 28658.6359235746. The cubic root of 821317413 is about 936.4911484269.

The spelling of 821317413 in words is "eight hundred twenty-one million, three hundred seventeen thousand, four hundred thirteen".