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13998 = 232333

13998 has 8 divisors (see below), whose sum is σ = 28008. Its totient is φ = 4664.

The previous prime is 13997. The next prime is 13999. The reversal of 13998 is 89931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13997) and next prime (13999).

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

13998 is an admirable number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13998.

It is not an unprimeable number, because it can be changed into a prime (13997) 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, 1161 + ... + 1172.

It is an arithmetic number, because the mean of its divisors is an integer number (3501).

13998 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004).

13998 is a wasteful number, since it uses less digits than its factorization.

13998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338.

The product of its digits is 1944, while the sum is 30.

The square root of 13998 is about 118.3131438176. The cubic root of 13998 is about 24.1002749003.

Adding to 13998 its sum of digits (30), we get a triangular number (14028 = T167).

The spelling of 13998 in words is "thirteen thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 2333 4666 6999 13998