82711317 has 48 divisors (see below), whose sum is σ = 128905728. Its totient is φ = 46811520.

The previous prime is 82711261. The next prime is 82711319. The reversal of 82711317 is 71311728.

It is not a de Polignac number, because 82711317 - 2⁸ = 82711061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82711319) 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 in 47 ways as a sum of consecutive naturals, for example, 1923498 + ... + 1923540.

It is an arithmetic number, because the mean of its divisors is an integer number (2685536).

Almost surely, 2^82711317 is an apocalyptic number.

It is an amenable number.

82711317 is a deficient number, since it is larger than the sum of its proper divisors (46194411).

82711317 is a wasteful number, since it uses less digits than its factorization.

82711317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 127 counting only the distinct ones).

The product of its digits is 2352, while the sum is 30.

The square root of 82711317 is about 9094.5762408152. The cubic root of 82711317 is about 435.7007545279.

It can be divided in two parts, 82711 and 317, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 82711317 in words is "eighty-two million, seven hundred eleven thousand, three hundred seventeen".