113645 has 16 divisors (see below), whose sum is σ = 165888. Its totient is φ = 72960.

The previous prime is 113623. The next prime is 113647. The reversal of 113645 is 546311.

It is not a de Polignac number, because 113645 - 2¹⁰ = 112621 is a prime.

It is a super-3 number, since 3×113645³ = 4403238947433375, which contains 333 as substring.

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 (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 15 ways as a sum of consecutive naturals, for example, 500 + ... + 690.

It is an arithmetic number, because the mean of its divisors is an integer number (10368).

2¹¹³⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

113645 is a deficient number, since it is larger than the sum of its proper divisors (52243).

113645 is a wasteful number, since it uses less digits than its factorization.

113645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220.

The product of its digits is 360, while the sum is 20.

The square root of 113645 is about 337.1127407856. The cubic root of 113645 is about 48.4376923336.

Adding to 113645 its reverse (546311), we get a palindrome (659956).

The spelling of 113645 in words is "one hundred thirteen thousand, six hundred forty-five".