13755 has 16 divisors (see below), whose sum is σ = 25344. Its totient is φ = 6240.

The previous prime is 13751. The next prime is 13757. The reversal of 13755 is 55731.

It is a happy number.

13755 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13755 - 2² = 13751 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

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 15 ways as a sum of consecutive naturals, for example, 40 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (1584).

2¹³⁷⁵⁵ is an apocalyptic number.

13755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13755 is a deficient number, since it is larger than the sum of its proper divisors (11589).

13755 is a wasteful number, since it uses less digits than its factorization.

13755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146.

The product of its digits is 525, while the sum is 21.

The square root of 13755 is about 117.2817121294. The cubic root of 13755 is about 23.9600028242.

The spelling of 13755 in words is "thirteen thousand, seven hundred fifty-five".