8001993 has 16 divisors (see below), whose sum is σ = 11067840. Its totient is φ = 5139264.

The previous prime is 8001991. The next prime is 8002003. The reversal of 8001993 is 3991008.

It is a happy number.

It is not a de Polignac number, because 8001993 - 2¹ = 8001991 is a prime.

8001993 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8001993.

It is not an unprimeable number, because it can be changed into a prime (8001991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8955 + ... + 9807.

It is an arithmetic number, because the mean of its divisors is an integer number (691740).

Almost surely, 2^8001993 is an apocalyptic number.

It is an amenable number.

8001993 is a deficient number, since it is larger than the sum of its proper divisors (3065847).

8001993 is a wasteful number, since it uses less digits than its factorization.

8001993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 8001993 is about 2828.7794187600. The cubic root of 8001993 is about 200.0166069543.

The spelling of 8001993 in words is "eight million, one thousand, nine hundred ninety-three".