113633 has 4 divisors (see below), whose sum is σ = 122388. Its totient is φ = 104880.

The previous prime is 113623. The next prime is 113647. The reversal of 113633 is 336311.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 18769 + 94864 = 137^2 + 308^2 .

It is a cyclic number.

It is not a de Polignac number, because 113633 - 2¹² = 109537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113623) 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 3 ways as a sum of consecutive naturals, for example, 4358 + ... + 4383.

It is an arithmetic number, because the mean of its divisors is an integer number (30597).

2¹¹³⁶³³ is an apocalyptic number.

113633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113633 is a deficient number, since it is larger than the sum of its proper divisors (8755).

113633 is an equidigital number, since it uses as much as digits as its factorization.

113633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8754.

The product of its digits is 162, while the sum is 17.

The square root of 113633 is about 337.0949421157. The cubic root of 113633 is about 48.4359873964.

Adding to 113633 its reverse (336311), we get a palindrome (449944).

The spelling of 113633 in words is "one hundred thirteen thousand, six hundred thirty-three".