4816 has 20 divisors (see below), whose sum is σ = 10912. Its totient is φ = 2016.

The previous prime is 4813. The next prime is 4817. The reversal of 4816 is 6184.

4816 is nontrivially palindromic in base 15.

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 9.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4793 and 4802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91 + ... + 133.

2⁴⁸¹⁶ 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 4816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456).

4816 is an abundant number, since it is smaller than the sum of its proper divisors (6096).

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

4816 is a wasteful number, since it uses less digits than its factorization.

4816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 52 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 4816 is about 69.3974062916. The cubic root of 4816 is about 16.8873754671.

Subtracting from 4816 its product of digits (192), we obtain a square (4624 = 68²).

It can be divided in two parts, 48 and 16, that added together give a 6-th power (64 = 2⁶).

The spelling of 4816 in words is "four thousand, eight hundred sixteen".