39504 has 20 divisors (see below), whose sum is σ = 102176. Its totient is φ = 13152.

The previous prime is 39503. The next prime is 39509. The reversal of 39504 is 40593.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39503) 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, 364 + ... + 459.

2³⁹⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

39504 is an abundant number, since it is smaller than the sum of its proper divisors (62672).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51088).

39504 is a wasteful number, since it uses less digits than its factorization.

39504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 39504 is about 198.7561319809. The cubic root of 39504 is about 34.0575725835.

Subtracting 39504 from its reverse (40593), we obtain a square (1089 = 33²).

The spelling of 39504 in words is "thirty-nine thousand, five hundred four".