113533 has 8 divisors (see below), whose sum is σ = 132800. Its totient is φ = 97020.

The previous prime is 113513. The next prime is 113537. The reversal of 113533 is 335311.

It is not a de Polignac number, because 113533 - 2⁵ = 113501 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 508.

It is an arithmetic number, because the mean of its divisors is an integer number (16600).

2¹¹³⁵³³ is an apocalyptic number.

It is an amenable number.

113533 is a deficient number, since it is larger than the sum of its proper divisors (19267).

113533 is an frugal number, since it uses more digits than its factorization.

113533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 338 counting only the distinct ones).

The product of its digits is 135, while the sum is 16.

The square root of 113533 is about 336.9465833036. The cubic root of 113533 is about 48.4217749163.

Adding to 113533 its reverse (335311), we get a palindrome (448844).

It can be divided in two parts, 113 and 533, that added together give a palindrome (646).

The spelling of 113533 in words is "one hundred thirteen thousand, five hundred thirty-three".