82971113 has 2 divisors, whose sum is σ = 82971114. Its totient is φ = 82971112.

The previous prime is 82971071. The next prime is 82971137. The reversal of 82971113 is 31117928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80496784 + 2474329 = 8972^2 + 1573^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82971113 is a prime.

It is a Chen prime.

It is equal to p_4832726 and since 82971113 and 4832726 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82971113.

It is not a weakly prime, because it can be changed into another prime (82971193) 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 as a sum of consecutive naturals, namely, 41485556 + 41485557.

It is an arithmetic number, because the mean of its divisors is an integer number (41485557).

Almost surely, 2^82971113 is an apocalyptic number.

It is an amenable number.

82971113 is a deficient number, since it is larger than the sum of its proper divisors (1).

82971113 is an equidigital number, since it uses as much as digits as its factorization.

82971113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 32.

The square root of 82971113 is about 9108.8480610887. The cubic root of 82971113 is about 436.1564559982.

The spelling of 82971113 in words is "eighty-two million, nine hundred seventy-one thousand, one hundred thirteen".