113437 has 2 divisors, whose sum is σ = 113438. Its totient is φ = 113436.

The previous prime is 113417. The next prime is 113453. The reversal of 113437 is 734311.

It is the 138-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95481 + 17956 = 309^2 + 134^2 .

It is a cyclic number.

It is not a de Polignac number, because 113437 - 2¹⁵ = 80669 is a prime.

It is a super-3 number, since 3×113437³ = 4379105942833359, which contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113417) 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 as a sum of consecutive naturals, namely, 56718 + 56719.

It is an arithmetic number, because the mean of its divisors is an integer number (56719).

2¹¹³⁴³⁷ is an apocalyptic number.

It is an amenable number.

113437 is a deficient number, since it is larger than the sum of its proper divisors (1).

113437 is an equidigital number, since it uses as much as digits as its factorization.

113437 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 19.

The square root of 113437 is about 336.8040973623. The cubic root of 113437 is about 48.4081230817.

Adding to 113437 its reverse (734311), we get a palindrome (847748).

It can be divided in two parts, 11343 and 7, that multiplied together give a triangular number (79401 = T₃₉₈).

The spelling of 113437 in words is "one hundred thirteen thousand, four hundred thirty-seven".