873313361 has 2 divisors, whose sum is σ = 873313362. Its totient is φ = 873313360.

The previous prime is 873313333. The next prime is 873313417. The reversal of 873313361 is 163313378.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 866713600 + 6599761 = 29440^2 + 2569^2 .

It is a cyclic number.

It is not a de Polignac number, because 873313361 - 2¹⁰ = 873312337 is a prime.

It is a super-3 number, since 3×873313361³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is equal to p_44714852 and since 873313361 and 44714852 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (873315361) 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 as a sum of consecutive naturals, namely, 436656680 + 436656681.

It is an arithmetic number, because the mean of its divisors is an integer number (436656681).

Almost surely, 2^873313361 is an apocalyptic number.

It is an amenable number.

873313361 is a deficient number, since it is larger than the sum of its proper divisors (1).

873313361 is an equidigital number, since it uses as much as digits as its factorization.

873313361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 35.

The square root of 873313361 is about 29551.8757611086. The cubic root of 873313361 is about 955.8506390754.

The spelling of 873313361 in words is "eight hundred seventy-three million, three hundred thirteen thousand, three hundred sixty-one".