838414613 has 2 divisors, whose sum is σ = 838414614. Its totient is φ = 838414612.

The previous prime is 838414573. The next prime is 838414667. The reversal of 838414613 is 316414838.

838414613 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., 518791729 + 319622884 = 22777^2 + 17878^2 .

It is a cyclic number.

It is not a de Polignac number, because 838414613 - 2¹⁴ = 838398229 is a prime.

It is a super-3 number, since 3×838414613³ (a number of 28 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (838414673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 419207306 + 419207307.

It is an arithmetic number, because the mean of its divisors is an integer number (419207307).

Almost surely, 2^838414613 is an apocalyptic number.

It is an amenable number.

838414613 is a deficient number, since it is larger than the sum of its proper divisors (1).

838414613 is an equidigital number, since it uses as much as digits as its factorization.

838414613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55296, while the sum is 38.

The square root of 838414613 is about 28955.3900509042. The cubic root of 838414613 is about 942.9448213743.

The spelling of 838414613 in words is "eight hundred thirty-eight million, four hundred fourteen thousand, six hundred thirteen".