84971 has 4 divisors (see below), whose sum is σ = 87744. Its totient is φ = 82200.

The previous prime is 84967. The next prime is 84977. The reversal of 84971 is 17948.

84971 = T₅₈ + T₅₉ + ... + T₈₈.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 84971 - 2² = 84967 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84977) 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 3 ways as a sum of consecutive naturals, for example, 1340 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (21936).

2⁸⁴⁹⁷¹ is an apocalyptic number.

84971 is a deficient number, since it is larger than the sum of its proper divisors (2773).

84971 is a wasteful number, since it uses less digits than its factorization.

84971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772.

The product of its digits is 2016, while the sum is 29.

The square root of 84971 is about 291.4978559098. The cubic root of 84971 is about 43.9632958367.

The spelling of 84971 in words is "eighty-four thousand, nine hundred seventy-one".