20852 has 12 divisors (see below), whose sum is σ = 39396. Its totient is φ = 9600.

The previous prime is 20849. The next prime is 20857. The reversal of 20852 is 25802.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13456 + 7396 = 116^2 + 86^2 .

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 20852.

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 20852.

It is not an unprimeable number, because it can be changed into a prime (20857) 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 3 ways as a sum of consecutive naturals, for example, 149 + ... + 252.

It is an arithmetic number, because the mean of its divisors is an integer number (3283).

2²⁰⁸⁵² is an apocalyptic number.

It is an amenable number.

20852 is a deficient number, since it is larger than the sum of its proper divisors (18544).

20852 is a wasteful number, since it uses less digits than its factorization.

20852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 20852 is about 144.4022160495. The cubic root of 20852 is about 27.5242760842.

Adding to 20852 its product of nonzero digits (160), we get a palindrome (21012).

Subtracting 20852 from its reverse (25802), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 208 and 52, that multiplied together give a square (10816 = 104²).

The spelling of 20852 in words is "twenty thousand, eight hundred fifty-two".