113709984 has 96 divisors (see below), whose sum is σ = 324495360. Its totient is φ = 34732800.

The previous prime is 113709971. The next prime is 113710001. The reversal of 113709984 is 489907311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×113709984² = 25859920922560512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55539 + ... + 57549.

It is an arithmetic number, because the mean of its divisors is an integer number (3380160).

Almost surely, 2^113709984 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 113709984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162247680).

113709984 is an abundant number, since it is smaller than the sum of its proper divisors (210785376).

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

113709984 is a wasteful number, since it uses less digits than its factorization.

113709984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 113709984 is about 10663.4883598192. The cubic root of 113709984 is about 484.4692305274.

The spelling of 113709984 in words is "one hundred thirteen million, seven hundred nine thousand, nine hundred eighty-four".