82129167 has 8 divisors (see below), whose sum is σ = 121672880. Its totient is φ = 54752760.

The previous prime is 82129129. The next prime is 82129169. The reversal of 82129167 is 76192128.

It is not a de Polignac number, because 82129167 - 2²⁶ = 15020303 is a prime.

It is a super-2 number, since 2×82129167² = 13490400144227778, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82129169) 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 in 7 ways as a sum of consecutive naturals, for example, 1520884 + ... + 1520937.

It is an arithmetic number, because the mean of its divisors is an integer number (15209110).

Almost surely, 2^82129167 is an apocalyptic number.

82129167 is a deficient number, since it is larger than the sum of its proper divisors (39543713).

82129167 is a wasteful number, since it uses less digits than its factorization.

82129167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041830 (or 3041824 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 82129167 is about 9062.5143861955. The cubic root of 82129167 is about 434.6761442061.

The spelling of 82129167 in words is "eighty-two million, one hundred twenty-nine thousand, one hundred sixty-seven".