96971 has 6 divisors (see below), whose sum is σ = 112860. Its totient is φ = 83076.

The previous prime is 96959. The next prime is 96973. The reversal of 96971 is 17969.

It is not a de Polignac number, because 96971 - 2⁶ = 96907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 941 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (18810).

2⁹⁶⁹⁷¹ is an apocalyptic number.

96971 is a deficient number, since it is larger than the sum of its proper divisors (15889).

96971 is a wasteful number, since it uses less digits than its factorization.

96971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1986 counting only the distinct ones).

The product of its digits is 3402, while the sum is 32.

The square root of 96971 is about 311.4016698735. The cubic root of 96971 is about 45.9424295541.

The spelling of 96971 in words is "ninety-six thousand, nine hundred seventy-one".