8020971 has 48 divisors (see below), whose sum is σ = 14407680. Its totient is φ = 4315680.

The previous prime is 8020963. The next prime is 8020981. The reversal of 8020971 is 1790208.

It is not a de Polignac number, because 8020971 - 2³ = 8020963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

8020971 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8020921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216765 + ... + 216801.

It is an arithmetic number, because the mean of its divisors is an integer number (300160).

Almost surely, 2^8020971 is an apocalyptic number.

8020971 is a deficient number, since it is larger than the sum of its proper divisors (6386709).

8020971 is a wasteful number, since it uses less digits than its factorization.

8020971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 78 counting only the distinct ones).

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

The square root of 8020971 is about 2832.1318825224. The cubic root of 8020971 is about 200.1746058530.

The spelling of 8020971 in words is "eight million, twenty thousand, nine hundred seventy-one".