39500 has 24 divisors (see below), whose sum is σ = 87360. Its totient is φ = 15600.

The previous prime is 39499. The next prime is 39503. The reversal of 39500 is 593.

It is a nialpdrome in base 15.

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 39500.

It is not an unprimeable number, because it can be changed into a prime (39503) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 461 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2³⁹⁵⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43680).

39500 is an abundant number, since it is smaller than the sum of its proper divisors (47860).

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

39500 is a wasteful number, since it uses less digits than its factorization.

39500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 39500 is about 198.7460691435. The cubic root of 39500 is about 34.0564230384.

The spelling of 39500 in words is "thirty-nine thousand, five hundred".