8286400971 has 12 divisors (see below), whose sum is σ = 12292739472. Its totient is φ = 5374962576.

The previous prime is 8286400951. The next prime is 8286400987. The reversal of 8286400971 is 1790046828.

8286400971 is a `hidden beast` number, since 82 + 86 + 400 + 97 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-8286400971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8286400951) 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, 12441711 + ... + 12442376.

It is an arithmetic number, because the mean of its divisors is an integer number (1024394956).

Almost surely, 2^8286400971 is an apocalyptic number.

8286400971 is a deficient number, since it is larger than the sum of its proper divisors (4006338501).

8286400971 is a wasteful number, since it uses less digits than its factorization.

8286400971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24884130 (or 24884127 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8286400971 is about 91029.6708277032. The cubic root of 8286400971 is about 2023.5874696111.

The spelling of 8286400971 in words is "eight billion, two hundred eighty-six million, four hundred thousand, nine hundred seventy-one".