82805305 has 32 divisors (see below), whose sum is σ = 112140288. Its totient is φ = 58180800.

The previous prime is 82805273. The next prime is 82805323. The reversal of 82805305 is 50350828.

It is not a de Polignac number, because 82805305 - 2⁵ = 82805273 is a prime.

It is a super-2 number, since 2×82805305² = 13713437072286050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266100 + ... + 266410.

It is an arithmetic number, because the mean of its divisors is an integer number (3504384).

Almost surely, 2^82805305 is an apocalyptic number.

It is an amenable number.

82805305 is a deficient number, since it is larger than the sum of its proper divisors (29334983).

82805305 is a wasteful number, since it uses less digits than its factorization.

82805305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477.

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 82805305 is about 9099.7420293105. The cubic root of 82805305 is about 435.8657264750.

The spelling of 82805305 in words is "eighty-two million, eight hundred five thousand, three hundred five".