4736 has 16 divisors (see below), whose sum is σ = 9690. Its totient is φ = 2304.

The previous prime is 4733. The next prime is 4751. The reversal of 4736 is 6374.

4736 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 3136 + 1600 = 56^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a d-powerful number, because it can be written as 4⁶ + 3⁴ + 7³ + 6³ .

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (4733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is an upside-down number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110 + ... + 146.

2⁴⁷³⁶ 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 4736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845).

4736 is an abundant number, since it is smaller than the sum of its proper divisors (4954).

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

4736 is an equidigital number, since it uses as much as digits as its factorization.

4736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 39 counting only the distinct ones).

The product of its digits is 504, while the sum is 20.

The square root of 4736 is about 68.8186021363. The cubic root of 4736 is about 16.7933458152.

The spelling of 4736 in words is "four thousand, seven hundred thirty-six".