13398 has 32 divisors (see below), whose sum is σ = 34560. Its totient is φ = 3360.

The previous prime is 13397. The next prime is 13399. The reversal of 13398 is 89331.

13398 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13398 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (13397) and next prime (13399).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13397) by changing a digit.

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 in 15 ways as a sum of consecutive naturals, for example, 448 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

2¹³³⁹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280).

13398 is an abundant number, since it is smaller than the sum of its proper divisors (21162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13398 is a wasteful number, since it uses less digits than its factorization.

13398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52.

The product of its digits is 648, while the sum is 24.

The square root of 13398 is about 115.7497300213. The cubic root of 13398 is about 23.7508956264.

It can be divided in two parts, 133 and 98, that added together give a triangular number (231 = T₂₁).

The spelling of 13398 in words is "thirteen thousand, three hundred ninety-eight".