10893 has 4 divisors (see below), whose sum is σ = 14528. Its totient is φ = 7260.

The previous prime is 10891. The next prime is 10903. The reversal of 10893 is 39801.

10893 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 39801 = 3 ⋅13267.

It is not a de Polignac number, because 10893 - 2¹ = 10891 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 6.

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 10893.

It is not an unprimeable number, because it can be changed into a prime (10891) by changing a digit.

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, 1813 + ... + 1818.

It is an arithmetic number, because the mean of its divisors is an integer number (3632).

2¹⁰⁸⁹³ is an apocalyptic number.

It is an amenable number.

10893 is a deficient number, since it is larger than the sum of its proper divisors (3635).

10893 is an equidigital number, since it uses as much as digits as its factorization.

10893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10893 is about 104.3695357851. The cubic root of 10893 is about 22.1674549503.

It can be divided in two parts, 10 and 893, that added together give a triangular number (903 = T₄₂).

The spelling of 10893 in words is "ten thousand, eight hundred ninety-three".