993993 has 32 divisors (see below), whose sum is σ = 1784832. Its totient is φ = 475200.

The previous prime is 993983. The next prime is 993997. The reversal of 993993 is 399399.

It is not a de Polignac number, because 993993 - 2⁴ = 993977 is a prime.

It is a Curzon number.

993993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (993997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2838 + ... + 3168.

It is an arithmetic number, because the mean of its divisors is an integer number (55776).

2⁹⁹³⁹⁹³ is an apocalyptic number.

It is an amenable number.

993993 is a deficient number, since it is larger than the sum of its proper divisors (790839).

993993 is a wasteful number, since it uses less digits than its factorization.

993993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365.

The product of its digits is 59049, while the sum is 42.

The square root of 993993 is about 996.9919758955. The cubic root of 993993 is about 99.7993643894.

The spelling of 993993 in words is "nine hundred ninety-three thousand, nine hundred ninety-three".