39993 has 4 divisors (see below), whose sum is σ = 53328. Its totient is φ = 26660.

The previous prime is 39989. The next prime is 40009.

39993 is nontrivially palindromic in base 2 and base 10.

39993 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 39993 - 2² = 39989 is a prime.

It is a D-number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (39953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6663 + ... + 6668.

It is an arithmetic number, because the mean of its divisors is an integer number (13332).

2³⁹⁹⁹³ is an apocalyptic number.

It is an amenable number.

39993 is a deficient number, since it is larger than the sum of its proper divisors (13335).

39993 is a wasteful number, since it uses less digits than its factorization.

39993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13334.

The product of its digits is 6561, while the sum is 33.

The square root of 39993 is about 199.9824992343. The cubic root of 39993 is about 34.1975238452.

The spelling of 39993 in words is "thirty-nine thousand, nine hundred ninety-three".