81344 has 28 divisors (see below), whose sum is σ = 170688. Its totient is φ = 38400.

The previous prime is 81343. The next prime is 81349. The reversal of 81344 is 44318.

81344 = T₁₇ + T₁₈ + ... + T₇₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81343) 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, 1964 + ... + 2004.

It is an arithmetic number, because the mean of its divisors is an integer number (6096).

2⁸¹³⁴⁴ 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 81344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344).

81344 is an abundant number, since it is smaller than the sum of its proper divisors (89344).

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

81344 is a wasteful number, since it uses less digits than its factorization.

81344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 74 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 81344 is about 285.2086955196. The cubic root of 81344 is about 43.3286516967.

The spelling of 81344 in words is "eighty-one thousand, three hundred forty-four".