10327993 has 12 divisors (see below), whose sum is σ = 11819500. Its totient is φ = 8969472.

The previous prime is 10327987. The next prime is 10328029. The reversal of 10327993 is 39972301.

It can be written as a sum of positive squares in 6 ways, for example, as 139129 + 10188864 = 373^2 + 3192^2 .

It is not a de Polignac number, because 10327993 - 2⁹ = 10327481 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10327903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2383 + ... + 5131.

Almost surely, 2^10327993 is an apocalyptic number.

10327993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10327993 is a deficient number, since it is larger than the sum of its proper divisors (1491507).

10327993 is a wasteful number, since it uses less digits than its factorization.

10327993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 10327993 is about 3213.7194961602. The cubic root of 10327993 is about 217.7736406980.

It can be divided in two parts, 1032 and 7993, that added together give a square (9025 = 95²).

The spelling of 10327993 in words is "ten million, three hundred twenty-seven thousand, nine hundred ninety-three".