82123261097 has 2 divisors, whose sum is σ = 82123261098. Its totient is φ = 82123261096.

The previous prime is 82123261049. The next prime is 82123261117. The reversal of 82123261097 is 79016232128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69584636521 + 12538624576 = 263789^2 + 111976^2 .

It is a cyclic number.

It is not a de Polignac number, because 82123261097 - 2¹² = 82123257001 is a prime.

It is not a weakly prime, because it can be changed into another prime (82123261397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41061630548 + 41061630549.

It is an arithmetic number, because the mean of its divisors is an integer number (41061630549).

Almost surely, 2^82123261097 is an apocalyptic number.

It is an amenable number.

82123261097 is a deficient number, since it is larger than the sum of its proper divisors (1).

82123261097 is an equidigital number, since it uses as much as digits as its factorization.

82123261097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 82123261097 in words is "eighty-two billion, one hundred twenty-three million, two hundred sixty-one thousand, ninety-seven".