82216417 has 2 divisors, whose sum is σ = 82216418. Its totient is φ = 82216416.

The previous prime is 82216319. The next prime is 82216423. The reversal of 82216417 is 71461228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62110161 + 20106256 = 7881^2 + 4484^2 .

It is a cyclic number.

It is not a de Polignac number, because 82216417 - 2¹¹ = 82214369 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82216447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41108208 + 41108209.

It is an arithmetic number, because the mean of its divisors is an integer number (41108209).

Almost surely, 2^82216417 is an apocalyptic number.

It is an amenable number.

82216417 is a deficient number, since it is larger than the sum of its proper divisors (1).

82216417 is an equidigital number, since it uses as much as digits as its factorization.

82216417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5376, while the sum is 31.

The square root of 82216417 is about 9067.3268938536. The cubic root of 82216417 is about 434.8300159378.

The spelling of 82216417 in words is "eighty-two million, two hundred sixteen thousand, four hundred seventeen".