82584532 has 12 divisors (see below), whose sum is σ = 144589396. Its totient is φ = 41273280.

The previous prime is 82584529. The next prime is 82584533. The reversal of 82584532 is 23548528.

It can be written as a sum of positive squares in 2 ways, for example, as 51179716 + 31404816 = 7154^2 + 5604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82584491 and 82584500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82584533) 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 3 ways as a sum of consecutive naturals, for example, 10432 + ... + 16552.

Almost surely, 2^82584532 is an apocalyptic number.

It is an amenable number.

82584532 is a deficient number, since it is larger than the sum of its proper divisors (62004864).

82584532 is a wasteful number, since it uses less digits than its factorization.

82584532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9498 (or 9496 counting only the distinct ones).

The product of its digits is 76800, while the sum is 37.

The square root of 82584532 is about 9087.6032043658. The cubic root of 82584532 is about 435.4780176986.

The spelling of 82584532 in words is "eighty-two million, five hundred eighty-four thousand, five hundred thirty-two".