82945584 has 120 divisors (see below), whose sum is σ = 253948032. Its totient is φ = 25159680.

The previous prime is 82945571. The next prime is 82945589. The reversal of 82945584 is 48554928.

82945584 is a `hidden beast` number, since 8 + 2 + 94 + 558 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (82945589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75342 + ... + 76434.

Almost surely, 2^82945584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82945584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126974016).

82945584 is an abundant number, since it is smaller than the sum of its proper divisors (171002448).

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

82945584 is a wasteful number, since it uses less digits than its factorization.

82945584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1146 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 82945584 is about 9107.4466235054. The cubic root of 82945584 is about 436.1117184185. Note that the first 3 decimals are identical.

The spelling of 82945584 in words is "eighty-two million, nine hundred forty-five thousand, five hundred eighty-four".