39393 has 8 divisors (see below), whose sum is σ = 58400. Its totient is φ = 26244.

The previous prime is 39383. The next prime is 39397.

39393 is nontrivially palindromic in base 10.

39393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-39393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1459 = 39393 / (3 + 9 + 3 + 9 + 3).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3² + 9 + 3⁹ + 9 + 3⁹ .

It is a Duffinian number.

39393 is an undulating number in base 10.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39393.

It is not an unprimeable number, because it can be changed into a prime (39397) 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, 703 + ... + 756.

It is an arithmetic number, because the mean of its divisors is an integer number (7300).

2³⁹³⁹³ is an apocalyptic number.

It is an amenable number.

39393 is a deficient number, since it is larger than the sum of its proper divisors (19007).

39393 is a wasteful number, since it uses less digits than its factorization.

39393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1462 counting only the distinct ones).

The product of its digits is 2187, while the sum is 27.

The square root of 39393 is about 198.4766988843. The cubic root of 39393 is about 34.0256438602.

Multiplying 39393 by its sum of digits (27), we get a triangular number (1063611 = T₁₄₅₈).

The spelling of 39393 in words is "thirty-nine thousand, three hundred ninety-three".