4751 has 2 divisors, whose sum is σ = 4752. Its totient is φ = 4750.

The previous prime is 4733. The next prime is 4759. The reversal of 4751 is 1574.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4751 - 2¹⁰ = 3727 is a prime.

It is a plaindrome in base 6, base 12 and base 16.

It is a zygodrome in base 6.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4759) by changing a digit.

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 as a sum of consecutive naturals, namely, 2375 + 2376.

It is an arithmetic number, because the mean of its divisors is an integer number (2376).

2⁴⁷⁵¹ is an apocalyptic number.

4751 is a deficient number, since it is larger than the sum of its proper divisors (1).

4751 is an equidigital number, since it uses as much as digits as its factorization.

4751 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 140, while the sum is 17.

The square root of 4751 is about 68.9274981412. The cubic root of 4751 is about 16.8110565917.

The spelling of 4751 in words is "four thousand, seven hundred fifty-one".