128003993 has 16 divisors (see below), whose sum is σ = 145224576. Its totient is φ = 111936000.

The previous prime is 128003987. The next prime is 128004031. The reversal of 128003993 is 399300821.

It is a cyclic number.

It is not a de Polignac number, because 128003993 - 2⁴ = 128003977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (128003923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29993 + ... + 33993.

It is an arithmetic number, because the mean of its divisors is an integer number (9076536).

Almost surely, 2^128003993 is an apocalyptic number.

128003993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

128003993 is a deficient number, since it is larger than the sum of its proper divisors (17220583).

128003993 is a wasteful number, since it uses less digits than its factorization.

128003993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144.

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 128003993 is about 11313.8849649446. The cubic root of 128003993 is about 503.9736603876.

The spelling of 128003993 in words is "one hundred twenty-eight million, three thousand, nine hundred ninety-three".