8205993 has 6 divisors (see below), whose sum is σ = 11853114. Its totient is φ = 5470656.

The previous prime is 8205983. The next prime is 8206013. The reversal of 8205993 is 3995028.

8205993 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7033104 + 1172889 = 2652^2 + 1083^2 .

It is not a de Polignac number, because 8205993 - 2⁸ = 8205737 is a prime.

It is a super-3 number, since 3×8205993³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (8205913) 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, 455880 + ... + 455897.

It is an arithmetic number, because the mean of its divisors is an integer number (1975519).

Almost surely, 2^8205993 is an apocalyptic number.

It is an amenable number.

8205993 is a deficient number, since it is larger than the sum of its proper divisors (3647121).

8205993 is a wasteful number, since it uses less digits than its factorization.

8205993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911783 (or 911780 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 8205993 is about 2864.6104447202. The cubic root of 8205993 is about 201.7020818283.

The spelling of 8205993 in words is "eight million, two hundred five thousand, nine hundred ninety-three".