82717089 has 64 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 40124160.

The previous prime is 82717069. The next prime is 82717109. The reversal of 82717089 is 98071728.

It is an interprime number because it is at equal distance from previous prime (82717069) and next prime (82717109).

It is not a de Polignac number, because 82717089 - 2⁸ = 82716833 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 82717089.

It is not an unprimeable number, because it can be changed into a prime (82717069) 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 63 ways as a sum of consecutive naturals, for example, 191704 + ... + 192134.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2^82717089 is an apocalyptic number.

It is an amenable number.

82717089 is a deficient number, since it is larger than the sum of its proper divisors (64370271).

82717089 is a wasteful number, since it uses less digits than its factorization.

82717089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510.

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 82717089 is about 9094.8935672717. The cubic root of 82717089 is about 435.7108894016.

The spelling of 82717089 in words is "eighty-two million, seven hundred seventeen thousand, eighty-nine".