4129 has 2 divisors, whose sum is σ = 4130. Its totient is φ = 4128.

The previous prime is 4127. The next prime is 4133. The reversal of 4129 is 9214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3600 + 529 = 60^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 4129 - 2¹ = 4127 is a prime.

Together with 4127, it forms a pair of twin primes.

It is an alternating number because its digits alternate between even and odd.

4129 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (4127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2064 + 2065.

It is an arithmetic number, because the mean of its divisors is an integer number (2065).

It is an amenable number.

4129 is a deficient number, since it is larger than the sum of its proper divisors (1).

4129 is an equidigital number, since it uses as much as digits as its factorization.

4129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 16.

The square root of 4129 is about 64.2572953057. The cubic root of 4129 is about 16.0428538691.

The spelling of 4129 in words is "four thousand, one hundred twenty-nine".