4759 has 2 divisors, whose sum is σ = 4760. Its totient is φ = 4758.

The previous prime is 4751. The next prime is 4783. The reversal of 4759 is 9574.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 4759 - 2³ = 4751 is a prime.

It is a plaindrome in base 8.

It is a nialpdrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4751) 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, 2379 + 2380.

It is an arithmetic number, because the mean of its divisors is an integer number (2380).

2⁴⁷⁵⁹ is an apocalyptic number.

4759 is a deficient number, since it is larger than the sum of its proper divisors (1).

4759 is an equidigital number, since it uses as much as digits as its factorization.

4759 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 25.

The square root of 4759 is about 68.9855057240. The cubic root of 4759 is about 16.8204871002.

It can be divided in two parts, 475 and 9, that added together give a palindrome (484).

The spelling of 4759 in words is "four thousand, seven hundred fifty-nine".