113784 has 32 divisors (see below), whose sum is σ = 311040. Its totient is φ = 34400.

The previous prime is 113783. The next prime is 113797. The reversal of 113784 is 487311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113783) 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, 49 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2¹¹³⁷⁸⁴ 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 113784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520).

113784 is an abundant number, since it is smaller than the sum of its proper divisors (197256).

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

113784 is a wasteful number, since it uses less digits than its factorization.

113784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 447 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 113784 is about 337.3188402684. The cubic root of 113784 is about 48.4574324486.

It can be divided in two parts, 1137 and 84, that added together give a palindrome (1221).

The spelling of 113784 in words is "one hundred thirteen thousand, seven hundred eighty-four".