83824543808741 has 2 divisors, whose sum is σ = 83824543808742. Its totient is φ = 83824543808740.

The previous prime is 83824543808723. The next prime is 83824543808777. The reversal of 83824543808741 is 14780834542838.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83637353459716 + 187190349025 = 9145346^2 + 432655^2 .

It is a cyclic number.

It is not a de Polignac number, because 83824543808741 - 2²² = 83824539614437 is a prime.

It is a super-2 number, since 2×83824543808741² (a number of 29 digits) contains 22 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 (83824543828741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41912271904370 + 41912271904371.

It is an arithmetic number, because the mean of its divisors is an integer number (41912271904371).

Almost surely, 2^{83824543808741} is an apocalyptic number.

It is an amenable number.

83824543808741 is a deficient number, since it is larger than the sum of its proper divisors (1).

83824543808741 is an equidigital number, since it uses as much as digits as its factorization.

83824543808741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165150720, while the sum is 65.

The spelling of 83824543808741 in words is "eighty-three trillion, eight hundred twenty-four billion, five hundred forty-three million, eight hundred eight thousand, seven hundred forty-one".