802971 has 12 divisors (see below), whose sum is σ = 1249248. Its totient is φ = 494064.

The previous prime is 802969. The next prime is 802979. The reversal of 802971 is 179208.

802971 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 802971 - 2¹ = 802969 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3315 + ... + 3548.

It is an arithmetic number, because the mean of its divisors is an integer number (104104).

2⁸⁰²⁹⁷¹ is an apocalyptic number.

802971 is a deficient number, since it is larger than the sum of its proper divisors (446277).

802971 is a wasteful number, since it uses less digits than its factorization.

802971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6882 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 802971 is about 896.0864913612. The cubic root of 802971 is about 92.9465527097.

It can be divided in two parts, 8029 and 71, that added together give a square (8100 = 90²).

The spelling of 802971 in words is "eight hundred two thousand, nine hundred seventy-one".