113653 has 4 divisors (see below), whose sum is σ = 115020. Its totient is φ = 112288.

The previous prime is 113647. The next prime is 113657. The reversal of 113653 is 356311.

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 47089 + 66564 = 217^2 + 258^2 .

It is a cyclic number.

It is not a de Polignac number, because 113653 - 2⁵ = 113621 is a prime.

It is a cake number, because a cake can be divided into 113653 parts by 88 planar cuts.

It is a Duffinian number.

113653 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 113653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113657) 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 3 ways as a sum of consecutive naturals, for example, 550 + ... + 727.

It is an arithmetic number, because the mean of its divisors is an integer number (28755).

2¹¹³⁶⁵³ is an apocalyptic number.

It is an amenable number.

113653 is a deficient number, since it is larger than the sum of its proper divisors (1367).

113653 is an equidigital number, since it uses as much as digits as its factorization.

113653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366.

The product of its digits is 270, while the sum is 19.

The square root of 113653 is about 337.1246060435. The cubic root of 113653 is about 48.4388288917.

Adding to 113653 its reverse (356311), we get a palindrome (469964).

The spelling of 113653 in words is "one hundred thirteen thousand, six hundred fifty-three".