82005093 has 24 divisors (see below), whose sum is σ = 125768448. Its totient is φ = 51311232.

The previous prime is 82005089. The next prime is 82005107. The reversal of 82005093 is 39050028.

It is not a de Polignac number, because 82005093 - 2² = 82005089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82005023) 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 23 ways as a sum of consecutive naturals, for example, 92430 + ... + 93312.

It is an arithmetic number, because the mean of its divisors is an integer number (5240352).

Almost surely, 2^82005093 is an apocalyptic number.

It is an amenable number.

82005093 is a deficient number, since it is larger than the sum of its proper divisors (43763355).

82005093 is a wasteful number, since it uses less digits than its factorization.

82005093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 82005093 is about 9055.6663476522. Note that the first 3 decimals coincide. The cubic root of 82005093 is about 434.4571428802.

The spelling of 82005093 in words is "eighty-two million, five thousand, ninety-three".