39304 has 16 divisors (see below), whose sum is σ = 78300. Its totient is φ = 18496.

The previous prime is 39301. The next prime is 39313. The reversal of 39304 is 40393.

The cubic root of 39304 is 34.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 39204 + 100 = 198^2 + 10^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39301) 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, 2304 + ... + 2320.

39304 is a Friedman number, since it can be written as (40-9+3)^3, using all its digits and the basic arithmetic operations.

2³⁹³⁰⁴ is an apocalyptic number.

39304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

39304 is a deficient number, since it is larger than the sum of its proper divisors (38996).

39304 is an equidigital number, since it uses as much as digits as its factorization.

39304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 39304 is about 198.2523644247.

Adding to 39304 its reverse (40393), we get a palindrome (79697).

Subtracting 39304 from its reverse (40393), we obtain a square (1089 = 33²).

It can be divided in two parts, 39 and 304, that added together give a palindrome (343).

The spelling of 39304 in words is "thirty-nine thousand, three hundred four".