4844 has 12 divisors (see below), whose sum is σ = 9744. Its totient is φ = 2064.

The previous prime is 4831. The next prime is 4861. The reversal of 4844 is 4484.

4844 = T₁₉ + T₂₀ + ... + T₃₂.

4844 = 21² + 22² + ... + 28².

4844 is nontrivially palindromic in base 3.

4844 is an admirable number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 5, base 13 and base 15.

It is a zygodrome in base 13.

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, 59 + ... + 114.

It is an arithmetic number, because the mean of its divisors is an integer number (812).

It is an amenable number.

4844 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (4872).

4844 is a wasteful number, since it uses less digits than its factorization.

4844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 182 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 4844 is about 69.5988505652. The cubic root of 4844 is about 16.9200397177.

Adding to 4844 its product of digits (512), we get a triangular number (5356 = T₁₀₃).

It can be divided in two parts, 484 and 4, that multiplied together give a square (1936 = 44²).

The spelling of 4844 in words is "four thousand, eight hundred forty-four".