8001987 has 8 divisors (see below), whose sum is σ = 12193536. Its totient is φ = 4572552.

The previous prime is 8001971. The next prime is 8001991. The reversal of 8001987 is 7891008.

8001987 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 8001987 - 2⁴ = 8001971 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (8001787) 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, 190503 + ... + 190544.

It is an arithmetic number, because the mean of its divisors is an integer number (1524192).

Almost surely, 2^8001987 is an apocalyptic number.

8001987 is a deficient number, since it is larger than the sum of its proper divisors (4191549).

8001987 is a wasteful number, since it uses less digits than its factorization.

8001987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381057.

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 8001987 is about 2828.7783582317. The cubic root of 8001987 is about 200.0165569626.

It can be divided in two parts, 8001 and 987, that multiplied together give a palindrome (7896987).

The spelling of 8001987 in words is "eight million, one thousand, nine hundred eighty-seven".