8505993 has 4 divisors (see below), whose sum is σ = 11341328. Its totient is φ = 5670660.

The previous prime is 8505989. The next prime is 8506031. The reversal of 8505993 is 3995058.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 8505993 - 2² = 8505989 is a prime.

It is a Duffinian number.

It is a Curzon number.

8505993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8505943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1417663 + ... + 1417668.

It is an arithmetic number, because the mean of its divisors is an integer number (2835332).

Almost surely, 2^8505993 is an apocalyptic number.

It is an amenable number.

8505993 is a deficient number, since it is larger than the sum of its proper divisors (2835335).

8505993 is a wasteful number, since it uses less digits than its factorization.

8505993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835334.

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 8505993 is about 2916.5035573440. The cubic root of 8505993 is about 204.1307072770.

The spelling of 8505993 in words is "eight million, five hundred five thousand, nine hundred ninety-three".