115971 has 16 divisors (see below), whose sum is σ = 168960. Its totient is φ = 70560.

The previous prime is 115963. The next prime is 115979. The reversal of 115971 is 179511.

It is an interprime number because it is at equal distance from previous prime (115963) and next prime (115979).

It is not a de Polignac number, because 115971 - 2³ = 115963 is a prime.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (115979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2676 + ... + 2718.

It is an arithmetic number, because the mean of its divisors is an integer number (10560).

2¹¹⁵⁹⁷¹ is an apocalyptic number.

115971 is a deficient number, since it is larger than the sum of its proper divisors (52989).

115971 is a wasteful number, since it uses less digits than its factorization.

115971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106.

The product of its digits is 315, while the sum is 24.

The square root of 115971 is about 340.5451511914. The cubic root of 115971 is about 48.7659251062.

The spelling of 115971 in words is "one hundred fifteen thousand, nine hundred seventy-one".