337216113 has 48 divisors (see below), whose sum is σ = 547996176. Its totient is φ = 198443520.

The previous prime is 337216081. The next prime is 337216163. The reversal of 337216113 is 311612733.

337216113 is a `hidden beast` number, since 337 + 216 + 113 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12027024 + 325189089 = 3468^2 + 18033^2 .

It is not a de Polignac number, because 337216113 - 2⁵ = 337216081 is a prime.

It is a super-2 number, since 2×337216113² = 227429413733657538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (337216163) 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 47 ways as a sum of consecutive naturals, for example, 263431 + ... + 264707.

It is an arithmetic number, because the mean of its divisors is an integer number (11416587).

Almost surely, 2^337216113 is an apocalyptic number.

It is an amenable number.

337216113 is a deficient number, since it is larger than the sum of its proper divisors (210780063).

337216113 is a wasteful number, since it uses less digits than its factorization.

337216113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1391 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 337216113 is about 18363.4450199302. The cubic root of 337216113 is about 696.0430574333.

Adding to 337216113 its reverse (311612733), we get a palindrome (648828846).

The spelling of 337216113 in words is "three hundred thirty-seven million, two hundred sixteen thousand, one hundred thirteen".