13803 has 8 divisors (see below), whose sum is σ = 19008. Its totient is φ = 8904.

The previous prime is 13799. The next prime is 13807. The reversal of 13803 is 30831.

13803 is nontrivially palindromic in base 2.

It is an interprime number because it is at equal distance from previous prime (13799) and next prime (13807).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13803 - 2² = 13799 is a prime.

13803 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (13807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76 + ... + 182.

It is an arithmetic number, because the mean of its divisors is an integer number (2376).

2¹³⁸⁰³ is an apocalyptic number.

13803 is a deficient number, since it is larger than the sum of its proper divisors (5205).

13803 is a wasteful number, since it uses less digits than its factorization.

13803 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13803 is about 117.4861693988. The cubic root of 13803 is about 23.9878410633.

Subtracting from 13803 its product of nonzero digits (72), we obtain a palindrome (13731).

The spelling of 13803 in words is "thirteen thousand, eight hundred three".