82731564161 has 2 divisors, whose sum is σ = 82731564162. Its totient is φ = 82731564160.

The previous prime is 82731564079. The next prime is 82731564191. The reversal of 82731564161 is 16146513728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56691610000 + 26039954161 = 238100^2 + 161369^2 .

It is a cyclic number.

It is not a de Polignac number, because 82731564161 - 2¹⁴ = 82731547777 is a prime.

It is not a weakly prime, because it can be changed into another prime (82731564191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41365782080 + 41365782081.

It is an arithmetic number, because the mean of its divisors is an integer number (41365782081).

Almost surely, 2^82731564161 is an apocalyptic number.

It is an amenable number.

82731564161 is a deficient number, since it is larger than the sum of its proper divisors (1).

82731564161 is an equidigital number, since it uses as much as digits as its factorization.

82731564161 is an evil number, because the sum of its binary digits is even.

The product of its digits is 241920, while the sum is 44.

The spelling of 82731564161 in words is "eighty-two billion, seven hundred thirty-one million, five hundred sixty-four thousand, one hundred sixty-one".