39942 has 24 divisors (see below), whose sum is σ = 99216. Its totient is φ = 11376.

The previous prime is 39937. The next prime is 39953. The reversal of 39942 is 24993.

It is a congruent number.

It is an unprimeable number.

39942 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, 33 + ... + 284.

It is an arithmetic number, because the mean of its divisors is an integer number (4134).

2³⁹⁹⁴² is an apocalyptic number.

39942 is an abundant number, since it is smaller than the sum of its proper divisors (59274).

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 (49608).

39942 is a wasteful number, since it uses less digits than its factorization.

39942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 329 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 39942 is about 199.8549473994. The cubic root of 39942 is about 34.1829811702.

It can be divided in two parts, 399 and 42, that added together give a square (441 = 21²).

The spelling of 39942 in words is "thirty-nine thousand, nine hundred forty-two".