38971 has 2 divisors, whose sum is σ = 38972. Its totient is φ = 38970.

The previous prime is 38959. The next prime is 38977. The reversal of 38971 is 17983.

38971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 38971 - 2⁹ = 38459 is a prime.

It is a nialpdrome in base 15.

It is not a weakly prime, because it can be changed into another prime (38977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19485 + 19486.

It is an arithmetic number, because the mean of its divisors is an integer number (19486).

2³⁸⁹⁷¹ is an apocalyptic number.

38971 is a deficient number, since it is larger than the sum of its proper divisors (1).

38971 is an equidigital number, since it uses as much as digits as its factorization.

38971 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512, while the sum is 28.

The square root of 38971 is about 197.4107393229. The cubic root of 38971 is about 33.9037067790.

The spelling of 38971 in words is "thirty-eight thousand, nine hundred seventy-one".