4138129 has 2 divisors, whose sum is σ = 4138130. Its totient is φ = 4138128.

The previous prime is 4138111. The next prime is 4138139. The reversal of 4138129 is 9218314.

It is a happy number.

4138129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3534400 + 603729 = 1880^2 + 777^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4138129 is a prime.

It is a super-2 number, since 2×4138129² = 34248223241282, which contains 22 as substring.

4138129 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4138097 and 4138106.

It is not a weakly prime, because it can be changed into another prime (4138139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2069064 + 2069065.

It is an arithmetic number, because the mean of its divisors is an integer number (2069065).

Almost surely, 2^4138129 is an apocalyptic number.

It is an amenable number.

4138129 is a deficient number, since it is larger than the sum of its proper divisors (1).

4138129 is an equidigital number, since it uses as much as digits as its factorization.

4138129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 28.

The square root of 4138129 is about 2034.2391698126. The cubic root of 4138129 is about 160.5466846594.

The spelling of 4138129 in words is "four million, one hundred thirty-eight thousand, one hundred twenty-nine".