82580305 has 12 divisors (see below), whose sum is σ = 105270300. Its totient is φ = 62177024.

The previous prime is 82580299. The next prime is 82580321. The reversal of 82580305 is 50308528.

It can be written as a sum of positive squares in 6 ways, for example, as 641601 + 81938704 = 801^2 + 9052^2 .

It is not a de Polignac number, because 82580305 - 2³ = 82580297 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27130 + ... + 30019.

It is an arithmetic number, because the mean of its divisors is an integer number (8772525).

Almost surely, 2^82580305 is an apocalyptic number.

82580305 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82580305 is a deficient number, since it is larger than the sum of its proper divisors (22689995).

82580305 is a wasteful number, since it uses less digits than its factorization.

82580305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57188 (or 57171 counting only the distinct ones).

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

The square root of 82580305 is about 9087.3706318164. The cubic root of 82580305 is about 435.4705877480.

The spelling of 82580305 in words is "eighty-two million, five hundred eighty thousand, three hundred five".