82002933 has 12 divisors (see below), whose sum is σ = 118810848. Its totient is φ = 54501480.

The previous prime is 82002913. The next prime is 82002983. The reversal of 82002933 is 33920028.

It is not a de Polignac number, because 82002933 - 2¹⁴ = 81986549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82002897 and 82002906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82002913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10785 + ... + 16742.

It is an arithmetic number, because the mean of its divisors is an integer number (9900904).

Almost surely, 2^82002933 is an apocalyptic number.

It is an amenable number.

82002933 is a deficient number, since it is larger than the sum of its proper divisors (36807915).

82002933 is a wasteful number, since it uses less digits than its factorization.

82002933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27864 (or 27861 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 82002933 is about 9055.5470845223. The cubic root of 82002933 is about 434.4533283379.

The spelling of 82002933 in words is "eighty-two million, two thousand, nine hundred thirty-three".