82749841729657 has 2 divisors, whose sum is σ = 82749841729658. Its totient is φ = 82749841729656.

The previous prime is 82749841729631. The next prime is 82749841729661. The reversal of 82749841729657 is 75692714894728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67961079310201 + 14788762419456 = 8243851^2 + 3845616^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82749841729657 is a prime.

It is not a weakly prime, because it can be changed into another prime (82749841709657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41374920864828 + 41374920864829.

It is an arithmetic number, because the mean of its divisors is an integer number (41374920864829).

Almost surely, 2^{82749841729657} is an apocalyptic number.

It is an amenable number.

82749841729657 is a deficient number, since it is larger than the sum of its proper divisors (1).

82749841729657 is an equidigital number, since it uses as much as digits as its factorization.

82749841729657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3413975040, while the sum is 79.

The spelling of 82749841729657 in words is "eighty-two trillion, seven hundred forty-nine billion, eight hundred forty-one million, seven hundred twenty-nine thousand, six hundred fifty-seven".