13753 has 4 divisors (see below), whose sum is σ = 14580. Its totient is φ = 12928.

The previous prime is 13751. The next prime is 13757. The reversal of 13753 is 35731.

13753 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 11449 + 2304 = 107^2 + 48^2 .

It is a cyclic number.

It is not a de Polignac number, because 13753 - 2¹ = 13751 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13753.

It is not an unprimeable number, because it can be changed into a prime (13751) 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, 388 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (3645).

2¹³⁷⁵³ is an apocalyptic number.

It is an amenable number.

13753 is a deficient number, since it is larger than the sum of its proper divisors (827).

13753 is an equidigital number, since it uses as much as digits as its factorization.

13753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826.

The product of its digits is 315, while the sum is 19.

The square root of 13753 is about 117.2731853409. The cubic root of 13753 is about 23.9588414931.

It can be divided in two parts, 1375 and 3, that added together give a triangular number (1378 = T₅₂).

The spelling of 13753 in words is "thirteen thousand, seven hundred fifty-three".