20892 has 12 divisors (see below), whose sum is σ = 48776. Its totient is φ = 6960.

The previous prime is 20887. The next prime is 20897. The reversal of 20892 is 29802.

It is an interprime number because it is at equal distance from previous prime (20887) and next prime (20897).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20897) by changing a digit.

20892 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, 859 + ... + 882.

2²⁰⁸⁹² is an apocalyptic number.

It is an amenable number.

20892 is an abundant number, since it is smaller than the sum of its proper divisors (27884).

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 (24388).

20892 is a wasteful number, since it uses less digits than its factorization.

20892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 20892 is about 144.5406517212. The cubic root of 20892 is about 27.5418646097.

It can be divided in two parts, 208 and 92, that added together give a triangular number (300 = T₂₄).

The spelling of 20892 in words is "twenty thousand, eight hundred ninety-two".