82017933 has 8 divisors (see below), whose sum is σ = 109399296. Its totient is φ = 54657600.

The previous prime is 82017919. The next prime is 82017941. The reversal of 82017933 is 33971028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82017933 - 2¹⁶ = 81952397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82017894 and 82017903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82017913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11268 + ... + 17058.

It is an arithmetic number, because the mean of its divisors is an integer number (13674912).

Almost surely, 2^82017933 is an apocalyptic number.

It is an amenable number.

82017933 is a deficient number, since it is larger than the sum of its proper divisors (27381363).

82017933 is a wasteful number, since it uses less digits than its factorization.

82017933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10515.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 82017933 is about 9056.3752682848. The cubic root of 82017933 is about 434.4798168320.

The spelling of 82017933 in words is "eighty-two million, seventeen thousand, nine hundred thirty-three".