39852 has 36 divisors (see below), whose sum is σ = 107016. Its totient is φ = 12960.

The previous prime is 39847. The next prime is 39857. The reversal of 39852 is 25893.

It is an interprime number because it is at equal distance from previous prime (39847) and next prime (39857).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2160) is a multiple of the sum of its prime factors (60).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39852.

It is not an unprimeable number, because it can be changed into a prime (39857) by changing a digit.

39852 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 952 + ... + 992.

2³⁹⁸⁵² 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 39852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53508).

39852 is an abundant number, since it is smaller than the sum of its proper divisors (67164).

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

39852 is a wasteful number, since it uses less digits than its factorization.

39852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 46 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 39852 is about 199.6296571154. The cubic root of 39852 is about 34.1572873984.

The spelling of 39852 in words is "thirty-nine thousand, eight hundred fifty-two".