113643 has 20 divisors (see below), whose sum is σ = 180048. Its totient is φ = 71280.

The previous prime is 113623. The next prime is 113647. The reversal of 113643 is 346311.

113643 = 19³ + 20³ + ... + 27³.

It is not a de Polignac number, because 113643 - 2⁹ = 113131 is a prime.

113643 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (113647) 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 19 ways as a sum of consecutive naturals, for example, 1833 + ... + 1893.

2¹¹³⁶⁴³ is an apocalyptic number.

113643 is a deficient number, since it is larger than the sum of its proper divisors (66405).

113643 is an equidigital number, since it uses as much as digits as its factorization.

113643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 87 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 113643 is about 337.1097744059. The cubic root of 113643 is about 48.4374081857.

Adding to 113643 its reverse (346311), we get a palindrome (459954).

The spelling of 113643 in words is "one hundred thirteen thousand, six hundred forty-three".