38029 has 4 divisors (see below), whose sum is σ = 40284. Its totient is φ = 35776.

The previous prime is 38011. The next prime is 38039. The reversal of 38029 is 92083.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 29929 + 8100 = 173^2 + 90^2 .

It is a cyclic number.

It is not a de Polignac number, because 38029 - 2⁵ = 37997 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38039) 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 in 3 ways as a sum of consecutive naturals, for example, 1102 + ... + 1135.

It is an arithmetic number, because the mean of its divisors is an integer number (10071).

2³⁸⁰²⁹ is an apocalyptic number.

It is an amenable number.

38029 is a deficient number, since it is larger than the sum of its proper divisors (2255).

38029 is a wasteful number, since it uses less digits than its factorization.

38029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 38029 is about 195.0102561405. The cubic root of 38029 is about 33.6283042869.

Multiplying 38029 by its sum of digits (22), we get a palindrome (836638).

The spelling of 38029 in words is "thirty-eight thousand, twenty-nine".