113424 has 40 divisors (see below), whose sum is σ = 312480. Its totient is φ = 35328.

The previous prime is 113417. The next prime is 113437. The reversal of 113424 is 424311.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 747 + ... + 885.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2¹¹³⁴²⁴ 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 113424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

113424 is an abundant number, since it is smaller than the sum of its proper divisors (199056).

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

113424 is a wasteful number, since it uses less digits than its factorization.

113424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 113424 is about 336.7847977567. The cubic root of 113424 is about 48.4062738037.

Adding to 113424 its reverse (424311), we get a palindrome (537735).

The spelling of 113424 in words is "one hundred thirteen thousand, four hundred twenty-four".