82958967 has 24 divisors (see below), whose sum is σ = 147484064. Its totient is φ = 43758144.

The previous prime is 82958917. The next prime is 82958969. The reversal of 82958967 is 76985928.

It is a happy number.

It is not a de Polignac number, because 82958967 - 2⁷ = 82958839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82958969) 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 23 ways as a sum of consecutive naturals, for example, 49828 + ... + 51465.

Almost surely, 2^82958967 is an apocalyptic number.

82958967 is a deficient number, since it is larger than the sum of its proper divisors (64525097).

82958967 is a wasteful number, since it uses less digits than its factorization.

82958967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101319 (or 101316 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 82958967 is about 9108.1813223058. The cubic root of 82958967 is about 436.1351722259.

The spelling of 82958967 in words is "eighty-two million, nine hundred fifty-eight thousand, nine hundred sixty-seven".