82484544 has 112 divisors (see below), whose sum is σ = 237670848. Its totient is φ = 25141248.

The previous prime is 82484539. The next prime is 82484557. The reversal of 82484544 is 44548428.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120427 + ... + 121109.

Almost surely, 2^82484544 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 82484544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118835424).

82484544 is an abundant number, since it is smaller than the sum of its proper divisors (155186304).

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

82484544 is a wasteful number, since it uses less digits than its factorization.

82484544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 742 counting only the distinct ones).

The product of its digits is 163840, while the sum is 39.

The square root of 82484544 is about 9082.1001976415. The cubic root of 82484544 is about 435.3021972003.

It can be divided in two parts, 82484 and 544, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 82484544 in words is "eighty-two million, four hundred eighty-four thousand, five hundred forty-four".