39093 has 8 divisors (see below), whose sum is σ = 53088. Its totient is φ = 25584.

The previous prime is 39089. The next prime is 39097.

39093 is nontrivially palindromic in base 10.

39093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39089) and next prime (39097).

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

It is not a de Polignac number, because 39093 - 2² = 39089 is a prime.

39093 is a lucky number.

It is a plaindrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39093.

It is not an unprimeable number, because it can be changed into a prime (39097) 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, 171 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (6636).

2³⁹⁰⁹³ is an apocalyptic number.

It is an amenable number.

39093 is a deficient number, since it is larger than the sum of its proper divisors (13995).

39093 is a wasteful number, since it uses less digits than its factorization.

39093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243.

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 39093 is about 197.7194982798. The cubic root of 39093 is about 33.9390488154.

The spelling of 39093 in words is "thirty-nine thousand, ninety-three".