4775 has 6 divisors (see below), whose sum is σ = 5952. Its totient is φ = 3800.

The previous prime is 4759. The next prime is 4783. The reversal of 4775 is 5774.

It is a happy number.

It is not a de Polignac number, because 4775 - 2⁴ = 4759 is a prime.

It is a Duffinian number.

Its product of digits (980) is a multiple of the sum of its prime divisors (196).

It is a plaindrome in base 8 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 4775.

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 5 ways as a sum of consecutive naturals, for example, 71 + ... + 120.

It is an arithmetic number, because the mean of its divisors is an integer number (992).

4775 is a deficient number, since it is larger than the sum of its proper divisors (1177).

4775 is a wasteful number, since it uses less digits than its factorization.

4775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 196 counting only the distinct ones).

The product of its digits is 980, while the sum is 23.

The square root of 4775 is about 69.1013748054. The cubic root of 4775 is about 16.8393164585.

Subtracting 4775 from its reverse (5774), we obtain a palindrome (999).

The spelling of 4775 in words is "four thousand, seven hundred seventy-five".