39930 has 32 divisors (see below), whose sum is σ = 105408. Its totient is φ = 9680.

The previous prime is 39929. The next prime is 39937. The reversal of 39930 is 3993.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 39930.

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 39930.

It is not an unprimeable number, because it can be changed into a prime (39937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3625 + ... + 3635.

It is an arithmetic number, because the mean of its divisors is an integer number (3294).

2³⁹⁹³⁰ is an apocalyptic number.

39930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52704).

39930 is an abundant number, since it is smaller than the sum of its proper divisors (65478).

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

39930 is a wasteful number, since it uses less digits than its factorization.

39930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 39930 is about 199.8249233704. The cubic root of 39930 is about 34.1795575655.

Subtracting from 39930 its reverse (3993), we obtain a cube (35937 = 33³).

It can be divided in two parts, 39 and 930, that added together give a palindrome (969).

The spelling of 39930 in words is "thirty-nine thousand, nine hundred thirty".