10932 has 12 divisors (see below), whose sum is σ = 25536. Its totient is φ = 3640.
The previous prime is 10909. The next prime is 10937. The reversal of 10932 is 23901.
10932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (12).
It is a plaindrome in base 15.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10937) by changing a digit.
10932 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
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 3 ways as a sum of consecutive naturals, for example, 444 + ... + 467.
It is an arithmetic number, because the mean of its divisors is an integer number (2128).
210932 is an apocalyptic number.
10932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
10932 is an abundant number, since it is smaller than the sum of its proper divisors (14604).
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 (12768).
10932 is a wasteful number, since it uses less digits than its factorization.
10932 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 918 (or 916 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 15.
The square root of 10932 is about 104.5562049809. The cubic root of 10932 is about 22.1938786791.
Subtracting from 10932 its product of nonzero digits (54), we obtain a triangular number (10878 = T147).
It can be divided in two parts, 109 and 32, that added together give a palindrome (141).
The spelling of 10932 in words is "ten thousand, nine hundred thirty-two".
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