9752 has 16 divisors (see below), whose sum is σ = 19440. Its totient is φ = 4576.

The previous prime is 9749. The next prime is 9767. The reversal of 9752 is 2579.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a magnanimous number.

It is a plaindrome in base 12.

It is a nialpdrome in base 10.

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 9752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158 + ... + 210.

It is an arithmetic number, because the mean of its divisors is an integer number (1215).

2⁹⁷⁵² is an apocalyptic number.

9752 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

9752 is a deficient number, since it is larger than the sum of its proper divisors (9688).

9752 is a wasteful number, since it uses less digits than its factorization.

9752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 78 counting only the distinct ones).

The product of its digits is 630, while the sum is 23.

The square root of 9752 is about 98.7522151650. The cubic root of 9752 is about 21.3647540466.

9752 divided by its sum of digits (23) gives a palindrome (424).

The spelling of 9752 in words is "nine thousand, seven hundred fifty-two".