8002973857 has 8 divisors (see below), whose sum is σ = 8384436992. Its totient is φ = 7629217200.

The previous prime is 8002973843. The next prime is 8002973879. The reversal of 8002973857 is 7583792008.

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 8002973857 - 2¹⁹ = 8002449569 is a prime.

It is a super-3 number, since 3×8002973857³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8002973857.

It is not an unprimeable number, because it can be changed into a prime (8002973887) 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, 1924494 + ... + 1928647.

It is an arithmetic number, because the mean of its divisors is an integer number (1048054624).

Almost surely, 2^8002973857 is an apocalyptic number.

It is an amenable number.

8002973857 is a deficient number, since it is larger than the sum of its proper divisors (381463135).

8002973857 is a wasteful number, since it uses less digits than its factorization.

8002973857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853239.

The product of its (nonzero) digits is 846720, while the sum is 49.

The square root of 8002973857 is about 89459.3419213444. The cubic root of 8002973857 is about 2000.2477907153.

The spelling of 8002973857 in words is "eight billion, two million, nine hundred seventy-three thousand, eight hundred fifty-seven".