13305 has 8 divisors (see below), whose sum is σ = 21312. Its totient is φ = 7088.

The previous prime is 13297. The next prime is 13309. The reversal of 13305 is 50331.

It is a happy number.

13305 is nontrivially palindromic in base 7.

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

It is a cyclic number.

It is not a de Polignac number, because 13305 - 2³ = 13297 is a prime.

13305 is an undulating number in base 7.

It is not an unprimeable number, because it can be changed into a prime (13309) 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, 429 + ... + 458.

It is an arithmetic number, because the mean of its divisors is an integer number (2664).

13305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13305 is a deficient number, since it is larger than the sum of its proper divisors (8007).

13305 is an equidigital number, since it uses as much as digits as its factorization.

13305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 13305 is about 115.3473016589. The cubic root of 13305 is about 23.6958136778.

Adding to 13305 its reverse (50331), we get a palindrome (63636).

The spelling of 13305 in words is "thirteen thousand, three hundred five".