4749 has 4 divisors (see below), whose sum is σ = 6336. Its totient is φ = 3164.

The previous prime is 4733. The next prime is 4751. The reversal of 4749 is 9474.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 4749 - 2⁴ = 4733 is a prime.

It is a D-number.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 5 and base 16.

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 4749.

It is not an unprimeable number, because it can be changed into a prime (4729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 789 + ... + 794.

It is an arithmetic number, because the mean of its divisors is an integer number (1584).

It is an amenable number.

4749 is a deficient number, since it is larger than the sum of its proper divisors (1587).

4749 is a wasteful number, since it uses less digits than its factorization.

4749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586.

The product of its digits is 1008, while the sum is 24.

The square root of 4749 is about 68.9129886161. The cubic root of 4749 is about 16.8086973107.

Subtracting from 4749 its product of digits (1008), we obtain a triangular number (3741 = T₈₆).

The spelling of 4749 in words is "four thousand, seven hundred forty-nine".