39846 has 16 divisors (see below), whose sum is σ = 82800. Its totient is φ = 12768.

The previous prime is 39841. The next prime is 39847. The reversal of 39846 is 64893.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60 + ... + 288.

It is an arithmetic number, because the mean of its divisors is an integer number (5175).

2³⁹⁸⁴⁶ is an apocalyptic number.

39846 is an abundant number, since it is smaller than the sum of its proper divisors (42954).

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 (41400).

39846 is a wasteful number, since it uses less digits than its factorization.

39846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263.

The product of its digits is 5184, while the sum is 30.

The square root of 39846 is about 199.6146287224. The cubic root of 39846 is about 34.1555731054.

It can be divided in two parts, 398 and 46, that added together give a palindrome (444).

The spelling of 39846 in words is "thirty-nine thousand, eight hundred forty-six".