82971071 has 2 divisors, whose sum is σ = 82971072. Its totient is φ = 82971070.

The previous prime is 82971047. The next prime is 82971113. The reversal of 82971071 is 17017928.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82971071 - 2¹⁴ = 82954687 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82971571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41485535 + 41485536.

It is an arithmetic number, because the mean of its divisors is an integer number (41485536).

Almost surely, 2^82971071 is an apocalyptic number.

82971071 is a deficient number, since it is larger than the sum of its proper divisors (1).

82971071 is an equidigital number, since it uses as much as digits as its factorization.

82971071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 35.

The square root of 82971071 is about 9108.8457556378. The cubic root of 82971071 is about 436.1563824040.

Adding to 82971071 its reverse (17017928), we get a palindrome (99988999).

The spelling of 82971071 in words is "eighty-two million, nine hundred seventy-one thousand, seventy-one".