52420 has 12 divisors (see below), whose sum is σ = 110124. Its totient is φ = 20960.

The previous prime is 52391. The next prime is 52433. The reversal of 52420 is 2425.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31684 + 20736 = 178^2 + 144^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 52420.

It is an unprimeable number.

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, 1291 + ... + 1330.

It is an arithmetic number, because the mean of its divisors is an integer number (9177).

2⁵²⁴²⁰ is an apocalyptic number.

It is an amenable number.

52420 is an abundant number, since it is smaller than the sum of its proper divisors (57704).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55062).

52420 is a wasteful number, since it uses less digits than its factorization.

52420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 52420 is about 228.9541438804. The cubic root of 52420 is about 37.4253329088.

Adding to 52420 its reverse (2425), we get a palindrome (54845).

It can be divided in two parts, 5 and 2420, that multiplied together give a square (12100 = 110²).

The spelling of 52420 in words is "fifty-two thousand, four hundred twenty".