82713217 has 2 divisors, whose sum is σ = 82713218. Its totient is φ = 82713216.

The previous prime is 82713181. The next prime is 82713229. The reversal of 82713217 is 71231728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54154881 + 28558336 = 7359^2 + 5344^2 .

It is a cyclic number.

It is not a de Polignac number, because 82713217 - 2⁷ = 82713089 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82710217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41356608 + 41356609.

It is an arithmetic number, because the mean of its divisors is an integer number (41356609).

Almost surely, 2^82713217 is an apocalyptic number.

It is an amenable number.

82713217 is a deficient number, since it is larger than the sum of its proper divisors (1).

82713217 is an equidigital number, since it uses as much as digits as its factorization.

82713217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4704, while the sum is 31.

The square root of 82713217 is about 9094.6806980784. The cubic root of 82713217 is about 435.7040907303.

The spelling of 82713217 in words is "eighty-two million, seven hundred thirteen thousand, two hundred seventeen".