39750 has 32 divisors (see below), whose sum is σ = 101088. Its totient is φ = 10400.

The previous prime is 39749. The next prime is 39761. The reversal of 39750 is 5793.

39750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 39750.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724 + ... + 776.

It is an arithmetic number, because the mean of its divisors is an integer number (3159).

2³⁹⁷⁵⁰ is an apocalyptic number.

39750 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 39750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50544).

39750 is an abundant number, since it is smaller than the sum of its proper divisors (61338).

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

39750 is a wasteful number, since it uses less digits than its factorization.

39750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 39750 is about 199.3740203738. The cubic root of 39750 is about 34.1281209828.

The spelling of 39750 in words is "thirty-nine thousand, seven hundred fifty".