113984 has 28 divisors (see below), whose sum is σ = 245364. Its totient is φ = 52224.

The previous prime is 113983. The next prime is 113989. The reversal of 113984 is 489311.

It can be written as a sum of positive squares in 2 ways, for example, as 40000 + 73984 = 200^2 + 272^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 764 + ... + 900.

It is an arithmetic number, because the mean of its divisors is an integer number (8763).

2¹¹³⁹⁸⁴ 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 113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122682).

113984 is an abundant number, since it is smaller than the sum of its proper divisors (131380).

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

113984 is a wasteful number, since it uses less digits than its factorization.

113984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 113984 is about 337.6151655361. The cubic root of 113984 is about 48.4858073043.

The spelling of 113984 in words is "one hundred thirteen thousand, nine hundred eighty-four".