82544 has 40 divisors (see below), whose sum is σ = 202368. Its totient is φ = 31680.

The previous prime is 82531. The next prime is 82549. The reversal of 82544 is 44528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1199 + ... + 1265.

2⁸²⁵⁴⁴ 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 82544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101184).

82544 is an abundant number, since it is smaller than the sum of its proper divisors (119824).

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

82544 is a wasteful number, since it uses less digits than its factorization.

82544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 82544 is about 287.3047162857. The cubic root of 82544 is about 43.5406762695.

It can be divided in two parts, 82 and 544, that added together give a palindrome (626).

The spelling of 82544 in words is "eighty-two thousand, five hundred forty-four".