83971 has 4 divisors (see below), whose sum is σ = 84744. Its totient is φ = 83200.

The previous prime is 83969. The next prime is 83983. The reversal of 83971 is 17938.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 17938 = 2 ⋅8969.

It is a cyclic number.

It is not a de Polignac number, because 83971 - 2¹ = 83969 is a prime.

It is a super-2 number, since 2×83971² = 14102257682, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 190 + ... + 451.

It is an arithmetic number, because the mean of its divisors is an integer number (21186).

2⁸³⁹⁷¹ is an apocalyptic number.

83971 is a deficient number, since it is larger than the sum of its proper divisors (773).

83971 is a wasteful number, since it uses less digits than its factorization.

83971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772.

The product of its digits is 1512, while the sum is 28.

The square root of 83971 is about 289.7775008519. Note that the first 3 decimals coincide. The cubic root of 83971 is about 43.7901508960.

The spelling of 83971 in words is "eighty-three thousand, nine hundred seventy-one".