13896 has 24 divisors (see below), whose sum is σ = 37830. Its totient is φ = 4608.

The previous prime is 13883. The next prime is 13901. The reversal of 13896 is 69831.

It can be written as a sum of positive squares in only one way, i.e., 12996 + 900 = 114^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25 + ... + 168.

2¹³⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18915).

13896 is an abundant number, since it is smaller than the sum of its proper divisors (23934).

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

13896 is a wasteful number, since it uses less digits than its factorization.

13896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 198 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 13896 is about 117.8812962263. The cubic root of 13896 is about 24.0415945373.

It can be divided in two parts, 13 and 896, that added together give a palindrome (909).

The spelling of 13896 in words is "thirteen thousand, eight hundred ninety-six".