82667728276241 has 2 divisors, whose sum is σ = 82667728276242. Its totient is φ = 82667728276240.

The previous prime is 82667728276223. The next prime is 82667728276277. The reversal of 82667728276241 is 14267282776628.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45476087011216 + 37191641265025 = 6743596^2 + 6098495^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82667728276241 is a prime.

It is not a weakly prime, because it can be changed into another prime (82667728270241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41333864138120 + 41333864138121.

It is an arithmetic number, because the mean of its divisors is an integer number (41333864138121).

Almost surely, 2^{82667728276241} is an apocalyptic number.

It is an amenable number.

82667728276241 is a deficient number, since it is larger than the sum of its proper divisors (1).

82667728276241 is an equidigital number, since it uses as much as digits as its factorization.

82667728276241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 303464448, while the sum is 68.

The spelling of 82667728276241 in words is "eighty-two trillion, six hundred sixty-seven billion, seven hundred twenty-eight million, two hundred seventy-six thousand, two hundred forty-one".