39006 has 24 divisors (see below), whose sum is σ = 92664. Its totient is φ = 11760.

The previous prime is 38993. The next prime is 39019. The reversal of 39006 is 60093.

39006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38993) and next prime (39019).

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

It is a self number, because there is not a number n which added to its sum of digits gives 39006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (3861).

2³⁹⁰⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 197×198.

It is a practical number, because each smaller number is the sum of distinct divisors of 39006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46332).

39006 is an abundant number, since it is smaller than the sum of its proper divisors (53658).

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

39006 is a wasteful number, since it uses less digits than its factorization.

39006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 39006 is about 197.4993670876. The cubic root of 39006 is about 33.9138534238.

Adding to 39006 its reverse (60093), we get a palindrome (99099).

It can be divided in two parts, 3 and 9006, that added together give a palindrome (9009).

The spelling of 39006 in words is "thirty-nine thousand, six".