38129 has 8 divisors (see below), whose sum is σ = 47040. Its totient is φ = 30096.

The previous prime is 38119. The next prime is 38149. The reversal of 38129 is 92183.

38129 = T₇₀ + T₇₁ + ... + T₈₂.

38129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38129 - 2⁴ = 38113 is a prime.

It is an Ulam number.

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

It is a Curzon number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (38119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119 + ... + 300.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2³⁸¹²⁹ is an apocalyptic number.

It is an amenable number.

38129 is a deficient number, since it is larger than the sum of its proper divisors (8911).

38129 is a wasteful number, since it uses less digits than its factorization.

38129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439.

The product of its digits is 432, while the sum is 23.

The square root of 38129 is about 195.2664845794. The cubic root of 38129 is about 33.6577545058.

The spelling of 38129 in words is "thirty-eight thousand, one hundred twenty-nine".