4005987 has 8 divisors (see below), whose sum is σ = 5471760. Its totient is φ = 2605440.

The previous prime is 4005983. The next prime is 4006001. The reversal of 4005987 is 7895004.

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

It is not a de Polignac number, because 4005987 - 2² = 4005983 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.

4005987 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4005983) 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, 16162 + ... + 16407.

It is an arithmetic number, because the mean of its divisors is an integer number (683970).

Almost surely, 2^4005987 is an apocalyptic number.

4005987 is a deficient number, since it is larger than the sum of its proper divisors (1465773).

4005987 is a wasteful number, since it uses less digits than its factorization.

4005987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32613.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 4005987 is about 2001.4961903536. The cubic root of 4005987 is about 158.8192638006.

The spelling of 4005987 in words is "four million, five thousand, nine hundred eighty-seven".