4757 has 4 divisors (see below), whose sum is σ = 4896. Its totient is φ = 4620.

The previous prime is 4751. The next prime is 4759. The reversal of 4757 is 7574.

It is a happy number.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 4757 - 2¹⁰ = 3733 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4751) 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, 32 + ... + 102.

It is an arithmetic number, because the mean of its divisors is an integer number (1224).

It is an amenable number.

4757 is a deficient number, since it is larger than the sum of its proper divisors (139).

4757 is an equidigital number, since it uses as much as digits as its factorization.

4757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138.

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

The square root of 4757 is about 68.9710084021. The cubic root of 4757 is about 16.8181304645.

The spelling of 4757 in words is "four thousand, seven hundred fifty-seven".