20052 has 18 divisors (see below), whose sum is σ = 50778. Its totient is φ = 6672.

The previous prime is 20051. The next prime is 20063. The reversal of 20052 is 25002.

It can be written as a sum of positive squares in only one way, i.e., 12996 + 7056 = 114^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an Ulam number.

It is a nialpdrome in base 12 and base 14.

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 20052.

It is not an unprimeable number, because it can be changed into a prime (20051) 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 5 ways as a sum of consecutive naturals, for example, 243 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (2821).

2²⁰⁰⁵² is an apocalyptic number.

It is an amenable number.

20052 is an abundant number, since it is smaller than the sum of its proper divisors (30726).

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

20052 is a wasteful number, since it uses less digits than its factorization.

20052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 562 counting only the distinct ones).

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

The square root of 20052 is about 141.6050846545. The cubic root of 20052 is about 27.1676807597.

Adding to 20052 its reverse (25002), we get a palindrome (45054).

Subtracting 20052 from its reverse (25002), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 200 and 52, that added together give a palindrome (252).

The spelling of 20052 in words is "twenty thousand, fifty-two".