113724 has 48 divisors (see below), whose sum is σ = 321440. Its totient is φ = 34992.

The previous prime is 113723. The next prime is 113731. The reversal of 113724 is 427311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113697 and 113706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8742 + ... + 8754.

113724 is a Friedman number, since it can be written as 4*3^7*(11+2), using all its digits and the basic arithmetic operations.

2¹¹³⁷²⁴ 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 113724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160720).

113724 is an abundant number, since it is smaller than the sum of its proper divisors (207716).

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

113724 is an equidigital number, since it uses as much as digits as its factorization.

113724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 18 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 113724 is about 337.2298919135. The cubic root of 113724 is about 48.4489135088.

The spelling of 113724 in words is "one hundred thirteen thousand, seven hundred twenty-four".