82584132 has 12 divisors (see below), whose sum is σ = 192696336. Its totient is φ = 27528040.

The previous prime is 82584077. The next prime is 82584137. The reversal of 82584132 is 23148528.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82584093 and 82584102.

It is not an unprimeable number, because it can be changed into a prime (82584137) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3440994 + ... + 3441017.

It is an arithmetic number, because the mean of its divisors is an integer number (16058028).

Almost surely, 2^82584132 is an apocalyptic number.

It is an amenable number.

82584132 is an abundant number, since it is smaller than the sum of its proper divisors (110112204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82584132 is a wasteful number, since it uses less digits than its factorization.

82584132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6882018 (or 6882016 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 82584132 is about 9087.5811963360. The cubic root of 82584132 is about 435.4773146150.

The spelling of 82584132 in words is "eighty-two million, five hundred eighty-four thousand, one hundred thirty-two".