39204 has 45 divisors (see below), whose sum is σ = 112651. Its totient is φ = 11880.

The previous prime is 39199. The next prime is 39209. The reversal of 39204 is 40293.

39204 = T₁₉₇ + T₁₉₈.

The square root of 39204 is 198.

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

It is an interprime number because it is at equal distance from previous prime (39199) and next prime (39209).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (39209) by changing a digit.

39204 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3559 + ... + 3569.

2³⁹²⁰⁴ is an apocalyptic number.

39204 is the 198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39204

39204 is an abundant number, since it is smaller than the sum of its proper divisors (73447).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39204 is a wasteful number, since it uses less digits than its factorization.

39204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The cubic root of 39204 is about 33.9711404472.

Adding to 39204 its reverse (40293), we get a palindrome (79497).

Subtracting 39204 from its reverse (40293), we obtain a square (1089 = 33²).

It can be divided in two parts, 39 and 204, that added together give a 5-th power (243 = 3⁵).

The spelling of 39204 in words is "thirty-nine thousand, two hundred four".