82341958071137 has 2 divisors, whose sum is σ = 82341958071138. Its totient is φ = 82341958071136.

The previous prime is 82341958071097. The next prime is 82341958071143. The reversal of 82341958071137 is 73117085914328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60279059353681 + 22062898717456 = 7763959^2 + 4697116^2 .

It is a cyclic number.

It is not a de Polignac number, because 82341958071137 - 2⁶ = 82341958071073 is a prime.

It is not a weakly prime, because it can be changed into another prime (82341958071187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41170979035568 + 41170979035569.

It is an arithmetic number, because the mean of its divisors is an integer number (41170979035569).

Almost surely, 2^{82341958071137} is an apocalyptic number.

It is an amenable number.

82341958071137 is a deficient number, since it is larger than the sum of its proper divisors (1).

82341958071137 is an equidigital number, since it uses as much as digits as its factorization.

82341958071137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10160640, while the sum is 59.

The spelling of 82341958071137 in words is "eighty-two trillion, three hundred forty-one billion, nine hundred fifty-eight million, seventy-one thousand, one hundred thirty-seven".