113337 has 18 divisors (see below), whose sum is σ = 191178. Its totient is φ = 64512.

The previous prime is 113329. The next prime is 113341. The reversal of 113337 is 733311.

113337 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 441 = 336^2 + 21^2 .

It is not a de Polignac number, because 113337 - 2³ = 113329 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113327) 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 17 ways as a sum of consecutive naturals, for example, 313 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (10621).

2¹¹³³³⁷ is an apocalyptic number.

It is an amenable number.

113337 is a deficient number, since it is larger than the sum of its proper divisors (77841).

113337 is a wasteful number, since it uses less digits than its factorization.

113337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its digits is 189, while the sum is 18.

The square root of 113337 is about 336.6556103795. The cubic root of 113337 is about 48.3938942278.

Adding to 113337 its product of digits (189), we get a triangular number (113526 = T₄₇₆).

Adding to 113337 its reverse (733311), we get a palindrome (846648).

The spelling of 113337 in words is "one hundred thirteen thousand, three hundred thirty-seven".