4820 has 12 divisors (see below), whose sum is σ = 10164.
Its totient is φ = 1920.
The previous prime is 4817. The next prime is 4831. The reversal of 4820 is 284.
Adding to 4820 its product of nonzero digits (64), we get a palindrome (4884).
4820 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.
It can be written as a sum of positive squares in 2 ways, for example, as 2704 + 2116 = 52^2 + 46^2
It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.
It is a plaindrome in base 13.
It is a junction number, because it is equal to n+sod(n) for n = 4795 and 4804.
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 4820.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101 + ... + 140.
It is an arithmetic number, because the mean of its divisors is an integer number (847).
24820 is an apocalyptic number.
It is an amenable number.
4820 is an abundant number, since it is smaller than the sum of its proper divisors (5344).
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 (5082).
4820 is a wasteful number, since it uses less digits than its factorization.
4820 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 250 (or 248 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 4820 is about 69.4262198308.
The cubic root of 4820 is about 16.8920495265.
The spelling of 4820 in words is "four thousand, eight hundred twenty".