9750 has 32 divisors (see below), whose sum is σ = 26208. Its totient is φ = 2400.

The previous prime is 9749. The next prime is 9767. The reversal of 9750 is 579.

It is a Curzon number.

It is a nialpdrome in base 10.

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, 744 + ... + 756.

It is an arithmetic number, because the mean of its divisors is an integer number (819).

2⁹⁷⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104).

9750 is an abundant number, since it is smaller than the sum of its proper divisors (16458).

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

9750 is a wasteful number, since it uses less digits than its factorization.

9750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 9750 is about 98.7420882907. The cubic root of 9750 is about 21.3632934085.

The spelling of 9750 in words is "nine thousand, seven hundred fifty".