82100997 has 24 divisors (see below), whose sum is σ = 129729600. Its totient is φ = 49620480.

The previous prime is 82100971. The next prime is 82101011. The reversal of 82100997 is 79900128.

It is a happy number.

It is not a de Polignac number, because 82100997 - 2⁶ = 82100933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82100917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43528 + ... + 45374.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2^82100997 is an apocalyptic number.

It is an amenable number.

82100997 is a deficient number, since it is larger than the sum of its proper divisors (47628603).

82100997 is a wasteful number, since it uses less digits than its factorization.

82100997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 82100997 is about 9060.9600484717. The cubic root of 82100997 is about 434.6264410873.

The spelling of 82100997 in words is "eighty-two million, one hundred thousand, nine hundred ninety-seven".