39104 has 28 divisors (see below), whose sum is σ = 85344. Its totient is φ = 17664.

The previous prime is 39103. The next prime is 39107. The reversal of 39104 is 40193.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (39103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 809 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (3048).

2³⁹¹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42672).

39104 is an abundant number, since it is smaller than the sum of its proper divisors (46240).

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

39104 is a wasteful number, since it uses less digits than its factorization.

39104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 39104 is about 197.7473135089. The cubic root of 39104 is about 33.9422317767.

Adding to 39104 its reverse (40193), we get a palindrome (79297).

Subtracting 39104 from its reverse (40193), we obtain a square (1089 = 33²).

The spelling of 39104 in words is "thirty-nine thousand, one hundred four".