10005993 has 12 divisors (see below), whose sum is σ = 14510340. Its totient is φ = 6644256.

The previous prime is 10005977. The next prime is 10005997. The reversal of 10005993 is 39950001.

It can be written as a sum of positive squares in 2 ways, for example, as 3640464 + 6365529 = 1908^2 + 2523^2 .

It is not a de Polignac number, because 10005993 - 2⁴ = 10005977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10005997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355 + ... + 4487.

It is an arithmetic number, because the mean of its divisors is an integer number (1209195).

Almost surely, 2^10005993 is an apocalyptic number.

It is an amenable number.

10005993 is a deficient number, since it is larger than the sum of its proper divisors (4504347).

10005993 is a wasteful number, since it uses less digits than its factorization.

10005993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 10005993 is about 3163.2250947411. The cubic root of 10005993 is about 215.4864988321.

Adding to 10005993 its reverse (39950001), we get a palindrome (49955994).

The spelling of 10005993 in words is "ten million, five thousand, nine hundred ninety-three".