4767 has 8 divisors (see below), whose sum is σ = 7296. Its totient is φ = 2712.

The previous prime is 4759. The next prime is 4783. The reversal of 4767 is 7674.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4767 - 2³ = 4759 is a prime.

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

4767 is a lucky number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4787) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 134.

It is an arithmetic number, because the mean of its divisors is an integer number (912).

4767 is a deficient number, since it is larger than the sum of its proper divisors (2529).

4767 is a wasteful number, since it uses less digits than its factorization.

4767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237.

The product of its digits is 1176, while the sum is 24.

The square root of 4767 is about 69.0434645712. The cubic root of 4767 is about 16.8299070459.

The spelling of 4767 in words is "four thousand, seven hundred sixty-seven".