82584505 has 8 divisors (see below), whose sum is σ = 99169992. Its totient is φ = 66021888.

The previous prime is 82584497. The next prime is 82584511. The reversal of 82584505 is 50548528.

It can be written as a sum of positive squares in 4 ways, for example, as 44675856 + 37908649 = 6684^2 + 6157^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82584505 - 2³ = 82584497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3619 + ... + 13351.

It is an arithmetic number, because the mean of its divisors is an integer number (12396249).

Almost surely, 2^82584505 is an apocalyptic number.

It is an amenable number.

82584505 is a deficient number, since it is larger than the sum of its proper divisors (16585487).

82584505 is a wasteful number, since it uses less digits than its factorization.

82584505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11435.

The product of its (nonzero) digits is 64000, while the sum is 37.

The square root of 82584505 is about 9087.6017188255. The cubic root of 82584505 is about 435.4779702406.

The spelling of 82584505 in words is "eighty-two million, five hundred eighty-four thousand, five hundred five".