38127 has 8 divisors (see below), whose sum is σ = 51840. Its totient is φ = 24920.

The previous prime is 38119. The next prime is 38149. The reversal of 38127 is 72183.

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 38127 - 2³ = 38119 is a prime.

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

It is a plaindrome in base 8 and base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38167) 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, 124 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2³⁸¹²⁷ is an apocalyptic number.

38127 is a deficient number, since it is larger than the sum of its proper divisors (13713).

38127 is a wasteful number, since it uses less digits than its factorization.

38127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253.

The product of its digits is 336, while the sum is 21.

The square root of 38127 is about 195.2613633057. The cubic root of 38127 is about 33.6571660064.

The spelling of 38127 in words is "thirty-eight thousand, one hundred twenty-seven".