20250 has 40 divisors (see below), whose sum is σ = 56628. Its totient is φ = 5400.

The previous prime is 20249. The next prime is 20261. The reversal of 20250 is 5202.

20250 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13689 + 6561 = 117^2 + 81^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12 and base 15.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4048 + ... + 4052.

2²⁰²⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28314).

20250 is an abundant number, since it is smaller than the sum of its proper divisors (36378).

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

20250 is an equidigital number, since it uses as much as digits as its factorization.

20250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 20250 is about 142.3024947076. The cubic root of 20250 is about 27.2568088925.

Adding to 20250 its reverse (5202), we get a palindrome (25452).

It can be divided in two parts, 202 and 50, that added together give a palindrome (252).

The spelling of 20250 in words is "twenty thousand, two hundred fifty".