10429993 has 24 divisors (see below), whose sum is σ = 13543200. Its totient is φ = 7959168.

The previous prime is 10429987. The next prime is 10430011. The reversal of 10429993 is 39992401.

10429993 is digitally balanced in base 2, base 3 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10429993 - 2¹⁷ = 10298921 is a prime.

10429993 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (10429973) 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, 15498 + ... + 16156.

It is an arithmetic number, because the mean of its divisors is an integer number (564300).

Almost surely, 2^10429993 is an apocalyptic number.

It is an amenable number.

10429993 is a deficient number, since it is larger than the sum of its proper divisors (3113207).

10429993 is a wasteful number, since it uses less digits than its factorization.

10429993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 10429993 is about 3229.5499686489. The cubic root of 10429993 is about 218.4882094921.

The spelling of 10429993 in words is "ten million, four hundred twenty-nine thousand, nine hundred ninety-three".