82009305 has 48 divisors (see below), whose sum is σ = 163712640. Its totient is φ = 37200384.

The previous prime is 82009297. The next prime is 82009337. The reversal of 82009305 is 50390028.

It is not a de Polignac number, because 82009305 - 2³ = 82009297 is a prime.

It is a super-2 number, since 2×82009305² = 13451052213166050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42849 + ... + 44721.

It is an arithmetic number, because the mean of its divisors is an integer number (3410680).

Almost surely, 2^82009305 is an apocalyptic number.

It is an amenable number.

82009305 is a deficient number, since it is larger than the sum of its proper divisors (81703335).

82009305 is a wasteful number, since it uses less digits than its factorization.

82009305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2027 counting only the distinct ones).

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

The square root of 82009305 is about 9055.8989062379. The cubic root of 82009305 is about 434.4645810448.

The spelling of 82009305 in words is "eighty-two million, nine thousand, three hundred five".