207971 has 2 divisors, whose sum is σ = 207972. Its totient is φ = 207970.

The previous prime is 207967. The next prime is 207973. The reversal of 207971 is 179702.

207971 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 207971 - 2² = 207967 is a prime.

Together with 207973, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 207971.

It is not a weakly prime, because it can be changed into another prime (207973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103985 + 103986.

It is an arithmetic number, because the mean of its divisors is an integer number (103986).

2²⁰⁷⁹⁷¹ is an apocalyptic number.

207971 is a deficient number, since it is larger than the sum of its proper divisors (1).

207971 is an equidigital number, since it uses as much as digits as its factorization.

207971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 207971 is about 456.0383755782. The cubic root of 207971 is about 59.2471676381.

The spelling of 207971 in words is "two hundred seven thousand, nine hundred seventy-one".