4765 has 4 divisors (see below), whose sum is σ = 5724. Its totient is φ = 3808.

The previous prime is 4759. The next prime is 4783. The reversal of 4765 is 5674.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5674 = 2 ⋅2837.

It can be written as a sum of positive squares in 2 ways, for example, as 1849 + 2916 = 43^2 + 54^2 .

It is a cyclic number.

It is not a de Polignac number, because 4765 - 2⁵ = 4733 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a Duffinian number.

It is a plaindrome in base 8, base 13 and base 16.

It is a congruent number.

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, 472 + ... + 481.

It is an arithmetic number, because the mean of its divisors is an integer number (1431).

2⁴⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

4765 is a deficient number, since it is larger than the sum of its proper divisors (959).

4765 is an equidigital number, since it uses as much as digits as its factorization.

4765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958.

The product of its digits is 840, while the sum is 22.

The square root of 4765 is about 69.0289794217. The cubic root of 4765 is about 16.8275530481.

Subtracting 4765 from its reverse (5674), we obtain a palindrome (909).

The spelling of 4765 in words is "four thousand, seven hundred sixty-five".