82000917 has 20 divisors (see below), whose sum is σ = 125810476. Its totient is φ = 53187840.

The previous prime is 82000913. The next prime is 82000937. The reversal of 82000917 is 71900028.

It can be written as a sum of positive squares in 2 ways, for example, as 62869041 + 19131876 = 7929^2 + 4374^2 .

It is not a de Polignac number, because 82000917 - 2² = 82000913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82000913) 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 19 ways as a sum of consecutive naturals, for example, 10684 + ... + 16677.

Almost surely, 2^82000917 is an apocalyptic number.

It is an amenable number.

82000917 is a deficient number, since it is larger than the sum of its proper divisors (43809559).

82000917 is a wasteful number, since it uses less digits than its factorization.

82000917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27410 (or 27401 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 82000917 is about 9055.4357708506. The cubic root of 82000917 is about 434.4497680381.

The spelling of 82000917 in words is "eighty-two million, nine hundred seventeen", and thus it is an aban number.