9252 has 18 divisors (see below), whose sum is σ = 23478. Its totient is φ = 3072.

The previous prime is 9241. The next prime is 9257. The reversal of 9252 is 2529.

Added to its reverse (2529) it gives a triangular number (11781 = T₁₅₃).

It can be written as a sum of positive squares in only one way, i.e., 9216 + 36 = 96^2 + 6^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

9252 is an undulating number in base 16.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9257) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 93 + ... + 164.

2⁹²⁵² is an apocalyptic number.

It is an amenable number.

9252 is an abundant number, since it is smaller than the sum of its proper divisors (14226).

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

9252 is a wasteful number, since it uses less digits than its factorization.

9252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 262 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 9252 is about 96.1873172513. The cubic root of 9252 is about 20.9931950741.

Adding to 9252 its reverse (2529), we get a triangular number (11781 = T₁₅₃).

It can be divided in two parts, 92 and 52, that added together give a square (144 = 12²).

The spelling of 9252 in words is "nine thousand, two hundred fifty-two".