10006993 has 6 divisors (see below), whose sum is σ = 10258742. Its totient is φ = 9761280.

The previous prime is 10006987. The next prime is 10007021. The reversal of 10006993 is 39960001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2455489 + 7551504 = 1567^2 + 2748^2 .

It is not a de Polignac number, because 10006993 - 2⁹ = 10006481 is a prime.

It is a Duffinian number.

10006993 is a modest number, since divided by 6993 gives 10 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10006933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1296 + ... + 4657.

Almost surely, 2^10006993 is an apocalyptic number.

It is an amenable number.

10006993 is a deficient number, since it is larger than the sum of its proper divisors (251749).

10006993 is an frugal number, since it uses more digits than its factorization.

10006993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6035 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 10006993 is about 3163.3831573175. The cubic root of 10006993 is about 215.4936771741.

Adding to 10006993 its reverse (39960001), we get a palindrome (49966994).

The spelling of 10006993 in words is "ten million, six thousand, nine hundred ninety-three".