82231683764761 has 2 divisors, whose sum is σ = 82231683764762. Its totient is φ = 82231683764760.

The previous prime is 82231683764759. The next prime is 82231683764837. The reversal of 82231683764761 is 16746738613228.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78185491169536 + 4046192595225 = 8842256^2 + 2011515^2 .

It is a cyclic number.

It is not a de Polignac number, because 82231683764761 - 2¹ = 82231683764759 is a prime.

Together with 82231683764759, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 82231683764693 and 82231683764702.

It is not a weakly prime, because it can be changed into another prime (82231683764731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41115841882380 + 41115841882381.

It is an arithmetic number, because the mean of its divisors is an integer number (41115841882381).

Almost surely, 2^{82231683764761} is an apocalyptic number.

It is an amenable number.

82231683764761 is a deficient number, since it is larger than the sum of its proper divisors (1).

82231683764761 is an equidigital number, since it uses as much as digits as its factorization.

82231683764761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 97542144, while the sum is 64.

The spelling of 82231683764761 in words is "eighty-two trillion, two hundred thirty-one billion, six hundred eighty-three million, seven hundred sixty-four thousand, seven hundred sixty-one".