113216 has 28 divisors (see below), whose sum is σ = 236220. Its totient is φ = 53760.

The previous prime is 113213. The next prime is 113227. The reversal of 113216 is 612311.

It can be written as a sum of positive squares in 2 ways, for example, as 25600 + 87616 = 160^2 + 296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 113216.

It is not an unprimeable number, because it can be changed into a prime (113213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1826 + ... + 1886.

2¹¹³²¹⁶ is an apocalyptic number.

113216 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 113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118110).

113216 is an abundant number, since it is smaller than the sum of its proper divisors (123004).

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

113216 is an equidigital number, since it uses as much as digits as its factorization.

113216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its digits is 36, while the sum is 14.

The square root of 113216 is about 336.4758535170. The cubic root of 113216 is about 48.3766661196.

Adding to 113216 its reverse (612311), we get a palindrome (725527).

The spelling of 113216 in words is "one hundred thirteen thousand, two hundred sixteen".