82097167 has 2 divisors, whose sum is σ = 82097168. Its totient is φ = 82097166.

The previous prime is 82097161. The next prime is 82097219. The reversal of 82097167 is 76179028.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82097167 - 2¹⁹ = 81572879 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82097161) 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, 41048583 + 41048584.

It is an arithmetic number, because the mean of its divisors is an integer number (41048584).

Almost surely, 2^82097167 is an apocalyptic number.

82097167 is a deficient number, since it is larger than the sum of its proper divisors (1).

82097167 is an equidigital number, since it uses as much as digits as its factorization.

82097167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 82097167 is about 9060.7486997488. The cubic root of 82097167 is about 434.6196825614.

It can be divided in two parts, 8209 and 7167, that added together give a square (15376 = 124²).

The spelling of 82097167 in words is "eighty-two million, ninety-seven thousand, one hundred sixty-seven".