82164317 has 2 divisors, whose sum is σ = 82164318. Its totient is φ = 82164316.

The previous prime is 82164293. The next prime is 82164343. The reversal of 82164317 is 71346128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72267001 + 9897316 = 8501^2 + 3146^2 .

It is a cyclic number.

It is not a de Polignac number, because 82164317 - 2¹⁶ = 82098781 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 (82164367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41082158 + 41082159.

It is an arithmetic number, because the mean of its divisors is an integer number (41082159).

Almost surely, 2^82164317 is an apocalyptic number.

It is an amenable number.

82164317 is a deficient number, since it is larger than the sum of its proper divisors (1).

82164317 is an equidigital number, since it uses as much as digits as its factorization.

82164317 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064, while the sum is 32.

The square root of 82164317 is about 9064.4534860079. The cubic root of 82164317 is about 434.7381468938.

The spelling of 82164317 in words is "eighty-two million, one hundred sixty-four thousand, three hundred seventeen".