112753 has 4 divisors (see below), whose sum is σ = 115200. Its totient is φ = 110308.

The previous prime is 112741. The next prime is 112757. The reversal of 112753 is 357211.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 112753 - 2⁹ = 112241 is a prime.

It is a Duffinian number.

112753 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 112753.

It is not an unprimeable number, because it can be changed into a prime (112757) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1153 + ... + 1246.

It is an arithmetic number, because the mean of its divisors is an integer number (28800).

2¹¹²⁷⁵³ is an apocalyptic number.

It is an amenable number.

112753 is a deficient number, since it is larger than the sum of its proper divisors (2447).

112753 is an equidigital number, since it uses as much as digits as its factorization.

112753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446.

The product of its digits is 210, while the sum is 19.

The square root of 112753 is about 335.7871349531. The cubic root of 112753 is about 48.3106301090.

Adding to 112753 its reverse (357211), we get a palindrome (469964).

The spelling of 112753 in words is "one hundred twelve thousand, seven hundred fifty-three".