13204 has 6 divisors (see below), whose sum is σ = 23114. Its totient is φ = 6600.

The previous prime is 13187. The next prime is 13217. The reversal of 13204 is 40231.

13204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 3600 = 98^2 + 60^2 .

It is a pancake number, because a pancake can be divided into 13204 parts by 162 straight cuts.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

13204 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1647 + ... + 1654.

2¹³²⁰⁴ is an apocalyptic number.

It is an amenable number.

13204 is a deficient number, since it is larger than the sum of its proper divisors (9910).

13204 is a wasteful number, since it uses less digits than its factorization.

13204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 13204 is about 114.9086593778. The cubic root of 13204 is about 23.6357019718.

Adding to 13204 its reverse (40231), we get a palindrome (53435).

The spelling of 13204 in words is "thirteen thousand, two hundred four".