10329993 has 24 divisors (see below), whose sum is σ = 15586688. Its totient is φ = 6586272.

The previous prime is 10329971. The next prime is 10329997. The reversal of 10329993 is 39992301.

It is not a de Polignac number, because 10329993 - 2¹⁴ = 10313609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10329997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22080 + ... + 22542.

Almost surely, 2^10329993 is an apocalyptic number.

It is an amenable number.

10329993 is a deficient number, since it is larger than the sum of its proper divisors (5256695).

10329993 is a wasteful number, since it uses less digits than its factorization.

10329993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 10329993 is about 3214.0306470225. The cubic root of 10329993 is about 217.7876969679.

It can be divided in two parts, 1032 and 9993, that added together give a square (11025 = 105²).

The spelling of 10329993 in words is "ten million, three hundred twenty-nine thousand, nine hundred ninety-three".