4842 has 12 divisors (see below), whose sum is σ = 10530. Its totient is φ = 1608.

The previous prime is 4831. The next prime is 4861. The reversal of 4842 is 2484.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4761 + 81 = 69^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 269 = 4842 / (4 + 8 + 4 + 2).

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4842.

It is an unprimeable number.

4842 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 117 + ... + 152.

4842 is an abundant number, since it is smaller than the sum of its proper divisors (5688).

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

4842 is a wasteful number, since it uses less digits than its factorization.

4842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 274 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 4842 is about 69.5844810285. The cubic root of 4842 is about 16.9177107377.

It can be divided in two parts, 48 and 42, that multiplied together give a triangular number (2016 = T₆₃).

The spelling of 4842 in words is "four thousand, eight hundred forty-two".