113753 has 4 divisors (see below), whose sum is σ = 119760. Its totient is φ = 107748.

The previous prime is 113749. The next prime is 113759. The reversal of 113753 is 357311.

It is a happy number.

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, and also an emirpimes, since its reverse is a distinct semiprime: 357311 = 67 ⋅5333.

It is a cyclic number.

It is not a de Polignac number, because 113753 - 2² = 113749 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113753.

It is not an unprimeable number, because it can be changed into a prime (113759) 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, 2975 + ... + 3012.

It is an arithmetic number, because the mean of its divisors is an integer number (29940).

2¹¹³⁷⁵³ is an apocalyptic number.

It is an amenable number.

113753 is a deficient number, since it is larger than the sum of its proper divisors (6007).

113753 is an equidigital number, since it uses as much as digits as its factorization.

113753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006.

The product of its digits is 315, while the sum is 20.

The square root of 113753 is about 337.2728865474. The cubic root of 113753 is about 48.4530313704.

The spelling of 113753 in words is "one hundred thirteen thousand, seven hundred fifty-three".