13832 has 32 divisors (see below), whose sum is σ = 33600. Its totient is φ = 5184.

The previous prime is 13831. The next prime is 13841. The reversal of 13832 is 23831.

Subtracting 13832 from its reverse (23831), we obtain a palindrome (9999).

It can be divided in two parts, 13 and 832, that multiplied together give a square (10816 = 104^{2}).

13832 is nontrivially palindromic in base 12.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 13832 = 2^{3} + 24^{3} = 18^{3} + 20^{3}.

It is a nialpdrome in base 7.

It is a self number, because there is not a number *n* which added to its sum of digits gives 13832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 719 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (1050).

13832 is a Friedman number, since it can be written as 8+(23+1)^3, using all its digits and the basic arithmetic operations.

2^{13832} 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 13832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16800).

13832 is an abundant number, since it is smaller than the sum of its proper divisors (19768).

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

13832 is a wasteful number, since it uses less digits than its factorization.

13832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 41 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 13832 is about 117.6095234239. The cubic root of 13832 is about 24.0046287369.

The spelling of 13832 in words is "thirteen thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 494 532 728 988 1064 1729 1976 3458 6916 13832

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