83544 has 24 divisors (see below), whose sum is σ = 212460. Its totient is φ = 27376.

The previous prime is 83537. The next prime is 83557. The reversal of 83544 is 44538.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1920) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83544.

It is an unprimeable number.

83544 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1387 + ... + 1445.

2⁸³⁵⁴⁴ 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 83544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106230).

83544 is an abundant number, since it is smaller than the sum of its proper divisors (128916).

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

83544 is a wasteful number, since it uses less digits than its factorization.

83544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 64 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 83544 is about 289.0397896484. The cubic root of 83544 is about 43.7157991213.

Multiplying 83544 by its sum of digits (24), we get a square (2005056 = 1416²).

83544 divided by its sum of digits (24) gives a square (3481 = 59²).

The spelling of 83544 in words is "eighty-three thousand, five hundred forty-four".