9152 has 28 divisors (see below), whose sum is σ = 21336. Its totient is φ = 3840.

The previous prime is 9151. The next prime is 9157. The reversal of 9152 is 2519.

9152 is nontrivially palindromic in base 7 and base 15.

It is a plaindrome in base 9 and base 14.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 9152.

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 9152.

It is not an unprimeable number, because it can be changed into a prime (9151) by changing a digit.

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, 698 + ... + 710.

It is an arithmetic number, because the mean of its divisors is an integer number (762).

2⁹¹⁵² 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 9152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10668).

9152 is an abundant number, since it is smaller than the sum of its proper divisors (12184).

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

9152 is a wasteful number, since it uses less digits than its factorization.

9152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 26 counting only the distinct ones).

The product of its digits is 90, while the sum is 17.

The square root of 9152 is about 95.6660859448. Note that the first 3 decimals coincide. The cubic root of 9152 is about 20.9172861270.

It can be divided in two parts, 915 and 2, that multiplied together give a triangular number (1830 = T₆₀).

The spelling of 9152 in words is "nine thousand, one hundred fifty-two".