10892 has 12 divisors (see below), whose sum is σ = 21840. Its totient is φ = 4656.

The previous prime is 10891. The next prime is 10903. The reversal of 10892 is 29801.

10892 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (10891) 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, 167 + ... + 222.

It is an arithmetic number, because the mean of its divisors is an integer number (1820).

2¹⁰⁸⁹² is an apocalyptic number.

It is an amenable number.

10892 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 (10920).

10892 is a wasteful number, since it uses less digits than its factorization.

10892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 10892 is about 104.3647450052. The cubic root of 10892 is about 22.1667765901.

The spelling of 10892 in words is "ten thousand, eight hundred ninety-two".