9756 has 18 divisors (see below), whose sum is σ = 24752. Its totient is φ = 3240.

The previous prime is 9749. The next prime is 9767. The reversal of 9756 is 6579.

It is a tau number, because it is divible by the number of its divisors (18).

It is a plaindrome in base 14.

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 9756.

It is an unprimeable number.

9756 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100 + ... + 171.

2⁹⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

9756 is an abundant number, since it is smaller than the sum of its proper divisors (14996).

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

9756 is a wasteful number, since it uses less digits than its factorization.

9756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 276 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 9756 is about 98.7724657989. The cubic root of 9756 is about 21.3676747239.

It can be divided in two parts, 97 and 56, that added together give a triangular number (153 = T₁₇).

The spelling of 9756 in words is "nine thousand, seven hundred fifty-six".