4729 has 2 divisors, whose sum is σ = 4730.
Its totient is φ = 4728.
The previous prime is 4723. The next prime is 4733. The reversal of 4729 is 9274.
Subtracting from 4729 its product of digits (504), we obtain a square (4225 = 652).
It can be divided in two parts, 4 and 729, that multiplied together give a square (2916 = 542).
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 2704 + 2025 = 52^2 + 45^2
It is a cyclic number.
It is not a de Polignac number, because 4729 - 23 = 4721 is a prime.
It is an Ulam number.
It is an alternating number because its digits alternate between even and odd.
It is a plaindrome in base 16.
It is not a weakly prime, because it can be changed into another prime (4721) 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, 2364 + 2365.
It is an arithmetic number, because the mean of its divisors is an integer number (2365).
24729 is an apocalyptic number.
It is an amenable number.
4729 is a deficient number, since it is larger than the sum of its proper divisors (1).
4729 is an equidigital number, since it uses as much as digits as its factorization.
4729 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 504, while the sum is 22.
The square root of 4729 is about 68.7677249878.
The cubic root of 4729 is about 16.7850679869.
The spelling of 4729 in words is "four thousand, seven hundred twenty-nine".