82997516349 has 32 divisors (see below), whose sum is σ = 134241444480. Its totient is φ = 50262508800.

The previous prime is 82997516333. The next prime is 82997516351. The reversal of 82997516349 is 94361579928.

82997516349 is a `hidden beast` number, since 8 + 29 + 97 + 516 + 3 + 4 + 9 = 666.

It is not a de Polignac number, because 82997516349 - 2⁴ = 82997516333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82997516359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277479 + ... + 492939.

It is an arithmetic number, because the mean of its divisors is an integer number (4195045140).

Almost surely, 2^82997516349 is an apocalyptic number.

It is an amenable number.

82997516349 is a deficient number, since it is larger than the sum of its proper divisors (51243928131).

82997516349 is a wasteful number, since it uses less digits than its factorization.

82997516349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216778 (or 216772 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 82997516349 in words is "eighty-two billion, nine hundred ninety-seven million, five hundred sixteen thousand, three hundred forty-nine".