10884 has 12 divisors (see below), whose sum is σ = 25424. Its totient is φ = 3624.

The previous prime is 10883. The next prime is 10889. The reversal of 10884 is 48801.

Added to its reverse (48801) it gives a triangular number (59685 = T_{345}).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×10884^{2} = 236922912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is a self number, because there is not a number *n* which added to its sum of digits gives 10884.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 10884.

It is not an unprimeable number, because it can be changed into a prime (10883) 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 3 ways as a sum of consecutive naturals, for example, 442 + ... + 465.

2^{10884} is an apocalyptic number.

It is an amenable number.

10884 is an abundant number, since it is smaller than the sum of its proper divisors (14540).

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 (12712).

10884 is a wasteful number, since it uses less digits than its factorization.

10884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10884 is about 104.3264108460. The cubic root of 10884 is about 22.1613482131.

Adding to 10884 its reverse (48801), we get a triangular number (59685 = T_{345}).

The spelling of 10884 in words is "ten thousand, eight hundred eighty-four".

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