83842729057 has 2 divisors, whose sum is σ = 83842729058. Its totient is φ = 83842729056.

The previous prime is 83842729037. The next prime is 83842729121. The reversal of 83842729057 is 75092724838.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68393233441 + 15449495616 = 261521^2 + 124296^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83842729057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83842728989 and 83842729007.

It is not a weakly prime, because it can be changed into another prime (83842729037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41921364528 + 41921364529.

It is an arithmetic number, because the mean of its divisors is an integer number (41921364529).

Almost surely, 2^83842729057 is an apocalyptic number.

It is an amenable number.

83842729057 is a deficient number, since it is larger than the sum of its proper divisors (1).

83842729057 is an equidigital number, since it uses as much as digits as its factorization.

83842729057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 83842729057 in words is "eighty-three billion, eight hundred forty-two million, seven hundred twenty-nine thousand, fifty-seven".