10002993 has 32 divisors (see below), whose sum is σ = 17912832. Its totient is φ = 4795200.

The previous prime is 10002983. The next prime is 10003001. The reversal of 10002993 is 39920001.

It is a happy number.

10002993 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002993 - 2⁶ = 10002929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10002943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1338 + ... + 4668.

It is an arithmetic number, because the mean of its divisors is an integer number (559776).

Almost surely, 2^10002993 is an apocalyptic number.

10002993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10002993 is a deficient number, since it is larger than the sum of its proper divisors (7909839).

10002993 is a wasteful number, since it uses less digits than its factorization.

10002993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365.

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 10002993 is about 3162.7508596157. The cubic root of 10002993 is about 215.4649609359.

Adding to 10002993 its reverse (39920001), we get a palindrome (49922994).

It can be divided in two parts, 1000 and 2993, that added together give a palindrome (3993).

The spelling of 10002993 in words is "ten million, two thousand, nine hundred ninety-three".