107971 has 2 divisors, whose sum is σ = 107972. Its totient is φ = 107970.

The previous prime is 107951. The next prime is 107981. The reversal of 107971 is 179701.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 107971 - 2⁷ = 107843 is a prime.

107971 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (107941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53985 + 53986.

It is an arithmetic number, because the mean of its divisors is an integer number (53986).

2¹⁰⁷⁹⁷¹ is an apocalyptic number.

107971 is a deficient number, since it is larger than the sum of its proper divisors (1).

107971 is an equidigital number, since it uses as much as digits as its factorization.

107971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 25.

The square root of 107971 is about 328.5894094459. The cubic root of 107971 is about 47.6177687117.

The spelling of 107971 in words is "one hundred seven thousand, nine hundred seventy-one".