20292 has 24 divisors (see below), whose sum is σ = 50400. Its totient is φ = 6336.

The previous prime is 20287. The next prime is 20297. The reversal of 20292 is 29202.

It is an interprime number because it is at equal distance from previous prime (20287) and next prime (20297).

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 20292.

It is not an unprimeable number, because it can be changed into a prime (20297) 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 7 ways as a sum of consecutive naturals, for example, 184 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

2²⁰²⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200).

20292 is an abundant number, since it is smaller than the sum of its proper divisors (30108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20292 is a wasteful number, since it uses less digits than its factorization.

20292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 20292 is about 142.4499912250. The cubic root of 20292 is about 27.2756400929.

Adding to 20292 its reverse (29202), we get a palindrome (49494).

The spelling of 20292 in words is "twenty thousand, two hundred ninety-two".