39924 has 18 divisors (see below), whose sum is σ = 101010. Its totient is φ = 13296.

The previous prime is 39901. The next prime is 39929. The reversal of 39924 is 42993.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 17424 = 150^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

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 39924.

It is not an unprimeable number, because it can be changed into a prime (39929) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 519 + ... + 590.

2³⁹⁹²⁴ is an apocalyptic number.

It is an amenable number.

39924 is an abundant number, since it is smaller than the sum of its proper divisors (61086).

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

39924 is a wasteful number, since it uses less digits than its factorization.

39924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1114 counting only the distinct ones).

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

The square root of 39924 is about 199.8099096642. The cubic root of 39924 is about 34.1778455059.

The spelling of 39924 in words is "thirty-nine thousand, nine hundred twenty-four".