8002593 has 6 divisors (see below), whose sum is σ = 11559314. Its totient is φ = 5335056.

The previous prime is 8002573. The next prime is 8002627. The reversal of 8002593 is 3952008.

It can be written as a sum of positive squares in only one way, i.e., 6906384 + 1096209 = 2628^2 + 1047^2 .

It is not a de Polignac number, because 8002593 - 2¹⁶ = 7937057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8002513) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 444580 + ... + 444597.

Almost surely, 2^8002593 is an apocalyptic number.

It is an amenable number.

8002593 is a deficient number, since it is larger than the sum of its proper divisors (3556721).

8002593 is a wasteful number, since it uses less digits than its factorization.

8002593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889183 (or 889180 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 8002593 is about 2828.8854695798. The cubic root of 8002593 is about 200.0216059992.

The spelling of 8002593 in words is "eight million, two thousand, five hundred ninety-three".