39992 has 8 divisors (see below), whose sum is σ = 75000. Its totient is φ = 19992.

The previous prime is 39989. The next prime is 40009. The reversal of 39992 is 29993.

It is a tau number, because it is divible by the number of its divisors (8).

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2492 + ... + 2507.

It is an arithmetic number, because the mean of its divisors is an integer number (9375).

2³⁹⁹⁹² is an apocalyptic number.

It is an amenable number.

39992 is a deficient number, since it is larger than the sum of its proper divisors (35008).

39992 is a wasteful number, since it uses less digits than its factorization.

39992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 5001 counting only the distinct ones).

The product of its digits is 4374, while the sum is 32.

The square root of 39992 is about 199.9799989999. The cubic root of 39992 is about 34.1972388136.

Subtracting from 39992 its reverse (29993), we obtain a palindrome (9999).

The spelling of 39992 in words is "thirty-nine thousand, nine hundred ninety-two".