872971 has 8 divisors (see below), whose sum is σ = 968688. Its totient is φ = 780000.

The previous prime is 872959. The next prime is 872999. The reversal of 872971 is 179278.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 872971 - 2⁷ = 872843 is a prime.

It is a Duffinian number.

872971 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 1321.

It is an arithmetic number, because the mean of its divisors is an integer number (121086).

2⁸⁷²⁹⁷¹ is an apocalyptic number.

872971 is a deficient number, since it is larger than the sum of its proper divisors (95717).

872971 is a wasteful number, since it uses less digits than its factorization.

872971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373.

The product of its digits is 7056, while the sum is 34.

The square root of 872971 is about 934.3291711169. The cubic root of 872971 is about 95.5725716847.

The spelling of 872971 in words is "eight hundred seventy-two thousand, nine hundred seventy-one".