39804 has 24 divisors (see below), whose sum is σ = 96768. Its totient is φ = 12720.

The previous prime is 39799. The next prime is 39821. The reversal of 39804 is 40893.

39804 = 67² + 68² + ... + 74².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2³⁹⁸⁰⁴ is an apocalyptic number.

39804 is the 107-th nonagonal number.

It is an amenable number.

39804 is an abundant number, since it is smaller than the sum of its proper divisors (56964).

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 (48384).

39804 is a wasteful number, since it uses less digits than its factorization.

39804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 39804 is about 199.5093982749. The cubic root of 39804 is about 34.1435682334.

Subtracting 39804 from its reverse (40893), we obtain a square (1089 = 33²).

The spelling of 39804 in words is "thirty-nine thousand, eight hundred four".