89344 has 18 divisors (see below), whose sum is σ = 178850. Its totient is φ = 44544.
The previous prime is 89329. The next prime is 89363. The reversal of 89344 is 44398.
It can be written as a sum of positive squares in only one way, i.e., 82944 + 6400 = 288^2 + 80^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82 + ... + 430.
289344 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 89344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89425).
89344 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
89344 is an equidigital number, since it uses as much as digits as its factorization.
89344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 365 (or 351 counting only the distinct ones).
The product of its digits is 3456, while the sum is 28.
The square root of 89344 is about 298.9046670763. The cubic root of 89344 is about 44.7049003098.
The spelling of 89344 in words is "eighty-nine thousand, three hundred forty-four".
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