82107317 has 2 divisors, whose sum is σ = 82107318. Its totient is φ = 82107316.

The previous prime is 82107257. The next prime is 82107343. The reversal of 82107317 is 71370128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69989956 + 12117361 = 8366^2 + 3481^2 .

It is a cyclic number.

It is not a de Polignac number, because 82107317 - 2²⁴ = 65330101 is a prime.

It is a super-2 number, since 2×82107317² = 13483223009876978, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82107317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82107367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41053658 + 41053659.

It is an arithmetic number, because the mean of its divisors is an integer number (41053659).

Almost surely, 2^82107317 is an apocalyptic number.

It is an amenable number.

82107317 is a deficient number, since it is larger than the sum of its proper divisors (1).

82107317 is an equidigital number, since it uses as much as digits as its factorization.

82107317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 82107317 is about 9061.3087906770. The cubic root of 82107317 is about 434.6375930779.

The spelling of 82107317 in words is "eighty-two million, one hundred seven thousand, three hundred seventeen".