15971 has 2 divisors, whose sum is σ = 15972. Its totient is φ = 15970.

The previous prime is 15959. The next prime is 15973. The reversal of 15971 is 17951.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 15971 - 2⁶ = 15907 is a prime.

Together with 15973, it forms a pair of twin primes.

It is a Chen prime.

It is a zygodrome in base 2.

It is not a weakly prime, because it can be changed into another prime (15973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7985 + 7986.

It is an arithmetic number, because the mean of its divisors is an integer number (7986).

2¹⁵⁹⁷¹ is an apocalyptic number.

15971 is a deficient number, since it is larger than the sum of its proper divisors (1).

15971 is an equidigital number, since it uses as much as digits as its factorization.

15971 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 315, while the sum is 23.

The square root of 15971 is about 126.3764218515. The cubic root of 15971 is about 25.1831877447.

The spelling of 15971 in words is "fifteen thousand, nine hundred seventy-one".