39693 has 8 divisors (see below), whose sum is σ = 53856. Its totient is φ = 26000.

The previous prime is 39679. The next prime is 39703.

39693 is nontrivially palindromic in base 10.

39693 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 sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 39693 - 2⁹ = 39181 is a prime.

39693 is a lucky number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 39693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238 + ... + 368.

It is an arithmetic number, because the mean of its divisors is an integer number (6732).

2³⁹⁶⁹³ is an apocalyptic number.

It is an amenable number.

39693 is a deficient number, since it is larger than the sum of its proper divisors (14163).

39693 is a wasteful number, since it uses less digits than its factorization.

39693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235.

The product of its digits is 4374, while the sum is 30.

The square root of 39693 is about 199.2310216809. The cubic root of 39693 is about 34.1118003667. Note that the first 3 decimals are identical.

The spelling of 39693 in words is "thirty-nine thousand, six hundred ninety-three".