39952 has 20 divisors (see below), whose sum is σ = 84816. Its totient is φ = 18080.

The previous prime is 39937. The next prime is 39953. The reversal of 39952 is 25993.

It is a self number, because there is not a number n which added to its sum of digits gives 39952.

It is not an unprimeable number, because it can be changed into a prime (39953) by changing a digit.

39952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 63 + ... + 289.

2³⁹⁹⁵² 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 39952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42408).

39952 is an abundant number, since it is smaller than the sum of its proper divisors (44864).

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

39952 is a wasteful number, since it uses less digits than its factorization.

39952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its digits is 2430, while the sum is 28.

The square root of 39952 is about 199.8799639784. The cubic root of 39952 is about 34.1858336504.

It can be divided in two parts, 39 and 952, that multiplied together give a triangular number (37128 = T₂₇₂).

The spelling of 39952 in words is "thirty-nine thousand, nine hundred fifty-two".