816347313 has 6 divisors (see below), whose sum is σ = 1179168354. Its totient is φ = 544231536.

The previous prime is 816347299. The next prime is 816347339. The reversal of 816347313 is 313743618.

816347313 is a `hidden beast` number, since 8 + 1 + 634 + 7 + 3 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 617621904 + 198725409 = 24852^2 + 14097^2 .

It is not a de Polignac number, because 816347313 - 2⁸ = 816347057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (816347353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45352620 + ... + 45352637.

It is an arithmetic number, because the mean of its divisors is an integer number (196528059).

Almost surely, 2^816347313 is an apocalyptic number.

It is an amenable number.

816347313 is a deficient number, since it is larger than the sum of its proper divisors (362821041).

816347313 is a wasteful number, since it uses less digits than its factorization.

816347313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90705263 (or 90705260 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 816347313 is about 28571.7922608996. The cubic root of 816347313 is about 934.5983053386.

The spelling of 816347313 in words is "eight hundred sixteen million, three hundred forty-seven thousand, three hundred thirteen".