82267217 has 2 divisors, whose sum is σ = 82267218. Its totient is φ = 82267216.

The previous prime is 82267177. The next prime is 82267219. The reversal of 82267217 is 71276228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75759616 + 6507601 = 8704^2 + 2551^2 .

It is a cyclic number.

It is not a de Polignac number, because 82267217 - 2²² = 78072913 is a prime.

Together with 82267219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82267219) 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, 41133608 + 41133609.

It is an arithmetic number, because the mean of its divisors is an integer number (41133609).

Almost surely, 2^82267217 is an apocalyptic number.

It is an amenable number.

82267217 is a deficient number, since it is larger than the sum of its proper divisors (1).

82267217 is an equidigital number, since it uses as much as digits as its factorization.

82267217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18816, while the sum is 35.

The square root of 82267217 is about 9070.1277278768. The cubic root of 82267217 is about 434.9195553008.

The spelling of 82267217 in words is "eighty-two million, two hundred sixty-seven thousand, two hundred seventeen".