113537 has 2 divisors, whose sum is σ = 113538. Its totient is φ = 113536.

The previous prime is 113513. The next prime is 113539. The reversal of 113537 is 735311.

It is a happy number.

113537 is nontrivially palindromic in base 12.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87616 + 25921 = 296^2 + 161^2 .

It is an emirp because it is prime and its reverse (735311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113537 - 2¹² = 109441 is a prime.

Together with 113539, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113537.

It is not a weakly prime, because it can be changed into another prime (113539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56768 + 56769.

It is an arithmetic number, because the mean of its divisors is an integer number (56769).

2¹¹³⁵³⁷ is an apocalyptic number.

It is an amenable number.

113537 is a deficient number, since it is larger than the sum of its proper divisors (1).

113537 is an equidigital number, since it uses as much as digits as its factorization.

113537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 315, while the sum is 20.

The square root of 113537 is about 336.9525189103. The cubic root of 113537 is about 48.4223435757.

Adding to 113537 its reverse (735311), we get a palindrome (848848).

The spelling of 113537 in words is "one hundred thirteen thousand, five hundred thirty-seven".