38329 has 2 divisors, whose sum is σ = 38330. Its totient is φ = 38328.

The previous prime is 38327. The next prime is 38333. The reversal of 38329 is 92383.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 5929 = 180^2 + 77^2 .

It is an emirp because it is prime and its reverse (92383) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38329 - 2¹ = 38327 is a prime.

It is a super-2 number, since 2×38329² = 2938224482, which contains 22 as substring.

Together with 38327, it forms a pair of twin primes.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19164 + 19165.

It is an arithmetic number, because the mean of its divisors is an integer number (19165).

2³⁸³²⁹ is an apocalyptic number.

It is an amenable number.

38329 is a deficient number, since it is larger than the sum of its proper divisors (1).

38329 is an equidigital number, since it uses as much as digits as its factorization.

38329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 25.

The square root of 38329 is about 195.7779354269. Note that the first 3 decimals coincide. The cubic root of 38329 is about 33.7165008257.

The spelling of 38329 in words is "thirty-eight thousand, three hundred twenty-nine".