82097458317 has 108 divisors (see below), whose sum is σ = 143230415328. Its totient is φ = 45179920800.

The previous prime is 82097458217. The next prime is 82097458337. The reversal of 82097458317 is 71385479028.

It is a happy number.

82097458317 is a `hidden beast` number, since 8 + 209 + 74 + 58 + 317 = 666.

It is not a de Polignac number, because 82097458317 - 2¹⁵ = 82097425549 is a prime.

It is a super-2 number, since 2×82097458317² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82097458337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 130106592 + ... + 130107222.

Almost surely, 2^82097458317 is an apocalyptic number.

It is an amenable number.

82097458317 is a deficient number, since it is larger than the sum of its proper divisors (61132957011).

82097458317 is a wasteful number, since it uses less digits than its factorization.

82097458317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 82097458317 in words is "eighty-two billion, ninety-seven million, four hundred fifty-eight thousand, three hundred seventeen".