113577216 has 72 divisors (see below), whose sum is σ = 309739584. Its totient is φ = 36925440.

The previous prime is 113577169. The next prime is 113577229. The reversal of 113577216 is 612775311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29685 + ... + 33291.

Almost surely, 2^113577216 is an apocalyptic number.

113577216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113577216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154869792).

113577216 is an abundant number, since it is smaller than the sum of its proper divisors (196162368).

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

113577216 is an equidigital number, since it uses as much as digits as its factorization.

113577216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3653 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 113577216 is about 10657.2611866276. The cubic root of 113577216 is about 484.2806013529.

The spelling of 113577216 in words is "one hundred thirteen million, five hundred seventy-seven thousand, two hundred sixteen".