113344 has 56 divisors (see below), whose sum is σ = 292608. Its totient is φ = 42240.

The previous prime is 113341. The next prime is 113357. The reversal of 113344 is 443311.

113344 = T₁₁ + T₁₂ + ... + T₈₇.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (113341) 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, 4917 + ... + 4939.

2¹¹³³⁴⁴ is an apocalyptic number.

113344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304).

113344 is an abundant number, since it is smaller than the sum of its proper divisors (179264).

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

113344 is a wasteful number, since it uses less digits than its factorization.

113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 43 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 113344 is about 336.6660066000. Note that the first 3 decimals coincide. The cubic root of 113344 is about 48.3948905200.

Adding to 113344 its reverse (443311), we get a palindrome (556655).

The spelling of 113344 in words is "one hundred thirteen thousand, three hundred forty-four".