113021984 has 48 divisors (see below), whose sum is σ = 236656728. Its totient is φ = 52948992.

The previous prime is 113021983. The next prime is 113022047. The reversal of 113021984 is 489120311.

It can be written as a sum of positive squares in 4 ways, for example, as 90250000 + 22771984 = 9500^2 + 4772^2 .

It is not an unprimeable number, because it can be changed into a prime (113021983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202634 + ... + 203190.

Almost surely, 2^113021984 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 113021984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118328364).

113021984 is an abundant number, since it is smaller than the sum of its proper divisors (123634744).

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

113021984 is a wasteful number, since it uses less digits than its factorization.

113021984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 113021984 is about 10631.1798028253. The cubic root of 113021984 is about 483.4901627683.

The spelling of 113021984 in words is "one hundred thirteen million, twenty-one thousand, nine hundred eighty-four".