13364 has 12 divisors (see below), whose sum is σ = 25284. Its totient is φ = 6144.

The previous prime is 13339. The next prime is 13367. The reversal of 13364 is 46331.

13364 is an esthetic number in base 12 and base 16, because in such bases its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 8464 + 4900 = 92^2 + 70^2 .

13364 is an undulating number in base 16.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13367) 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, 77 + ... + 180.

It is an arithmetic number, because the mean of its divisors is an integer number (2107).

2¹³³⁶⁴ is an apocalyptic number.

It is an amenable number.

13364 is a deficient number, since it is larger than the sum of its proper divisors (11920).

13364 is a wasteful number, since it uses less digits than its factorization.

13364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 272 counting only the distinct ones).

The product of its digits is 216, while the sum is 17.

The square root of 13364 is about 115.6027681329. The cubic root of 13364 is about 23.7307877869.

Adding to 13364 its reverse (46331), we get a palindrome (59695).

The spelling of 13364 in words is "thirteen thousand, three hundred sixty-four".