10838029 has 2 divisors, whose sum is σ = 10838030. Its totient is φ = 10838028.

The previous prime is 10838017. The next prime is 10838041. The reversal of 10838029 is 92083801.

It is a balanced prime because it is at equal distance from previous prime (10838017) and next prime (10838041).

It can be written as a sum of positive squares in only one way, i.e., 10252804 + 585225 = 3202^2 + 765^2 .

It is a cyclic number.

It is not a de Polignac number, because 10838029 - 2⁷ = 10837901 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10838929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5419014 + 5419015.

It is an arithmetic number, because the mean of its divisors is an integer number (5419015).

Almost surely, 2^10838029 is an apocalyptic number.

It is an amenable number.

10838029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10838029 is an equidigital number, since it uses as much as digits as its factorization.

10838029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 10838029 is about 3292.1161887151. The cubic root of 10838029 is about 221.3010305009.

The spelling of 10838029 in words is "ten million, eight hundred thirty-eight thousand, twenty-nine".