82128077 has 2 divisors, whose sum is σ = 82128078. Its totient is φ = 82128076.

The previous prime is 82128041. The next prime is 82128091. The reversal of 82128077 is 77082128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74321641 + 7806436 = 8621^2 + 2794^2 .

It is a cyclic number.

It is not a de Polignac number, because 82128077 - 2⁸ = 82127821 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82128017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41064038 + 41064039.

It is an arithmetic number, because the mean of its divisors is an integer number (41064039).

Almost surely, 2^82128077 is an apocalyptic number.

It is an amenable number.

82128077 is a deficient number, since it is larger than the sum of its proper divisors (1).

82128077 is an equidigital number, since it uses as much as digits as its factorization.

82128077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 82128077 is about 9062.4542481604. The cubic root of 82128077 is about 434.6742212226.

The spelling of 82128077 in words is "eighty-two million, one hundred twenty-eight thousand, seventy-seven".