52820 has 24 divisors (see below), whose sum is σ = 117600. Its totient is φ = 19872.

The previous prime is 52817. The next prime is 52837. The reversal of 52820 is 2825.

It is a happy number.

52820 is nontrivially palindromic in base 3 and base 9.

52820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

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 52820.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (4900).

2⁵²⁸²⁰ 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 52820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58800).

52820 is an abundant number, since it is smaller than the sum of its proper divisors (64780).

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

52820 is a wasteful number, since it uses less digits than its factorization.

52820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

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

The square root of 52820 is about 229.8260211551. The cubic root of 52820 is about 37.5202853211.

The spelling of 52820 in words is "fifty-two thousand, eight hundred twenty".