4756 has 12 divisors (see below), whose sum is σ = 8820. Its totient is φ = 2240.

The previous prime is 4751. The next prime is 4759. The reversal of 4756 is 6574.

It can be written as a sum of positive squares in 2 ways, for example, as 1156 + 3600 = 34^2 + 60^2 .

It is an Ulam number.

4756 is an undulating number in base 9.

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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96 + ... + 136.

It is an arithmetic number, because the mean of its divisors is an integer number (735).

It is an amenable number.

4756 is a deficient number, since it is larger than the sum of its proper divisors (4064).

4756 is a wasteful number, since it uses less digits than its factorization.

4756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 72 counting only the distinct ones).

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

The square root of 4756 is about 68.9637585983. The cubic root of 4756 is about 16.8169518989.

Subtracting from 4756 its product of digits (840), we obtain a triangular number (3916 = T₈₈).

It can be divided in two parts, 475 and 6, that multiplied together give a triangular number (2850 = T₇₅).

The spelling of 4756 in words is "four thousand, seven hundred fifty-six".