82117177 has 2 divisors, whose sum is σ = 82117178. Its totient is φ = 82117176.

The previous prime is 82117099. The next prime is 82117187. The reversal of 82117177 is 77171128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76457536 + 5659641 = 8744^2 + 2379^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82117177 is a prime.

It is not a weakly prime, because it can be changed into another prime (82117187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41058588 + 41058589.

It is an arithmetic number, because the mean of its divisors is an integer number (41058589).

Almost surely, 2^82117177 is an apocalyptic number.

It is an amenable number.

82117177 is a deficient number, since it is larger than the sum of its proper divisors (1).

82117177 is an equidigital number, since it uses as much as digits as its factorization.

82117177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5488, while the sum is 34.

The square root of 82117177 is about 9061.8528458588. The cubic root of 82117177 is about 434.6549904520.

The spelling of 82117177 in words is "eighty-two million, one hundred seventeen thousand, one hundred seventy-seven".