39830 has 16 divisors (see below), whose sum is σ = 82080. Its totient is φ = 13632.

The previous prime is 39829. The next prime is 39839. The reversal of 39830 is 3893.

It is a junction number, because it is equal to n+sod(n) for n = 39796 and 39805.

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 39830.

It is not an unprimeable number, because it can be changed into a prime (39839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215 + ... + 354.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2³⁹⁸³⁰ is an apocalyptic number.

39830 is an abundant number, since it is smaller than the sum of its proper divisors (42250).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41040).

39830 is a wasteful number, since it uses less digits than its factorization.

39830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 39830 is about 199.5745474754. The cubic root of 39830 is about 34.1510008160.

Subtracting from 39830 its reverse (3893), we obtain a cube (35937 = 33³).

The spelling of 39830 in words is "thirty-nine thousand, eight hundred thirty".