9257248 has 144 divisors (see below), whose sum is σ = 25994304. Its totient is φ = 3133440.

The previous prime is 9257243. The next prime is 9257249. The reversal of 9257248 is 8427529.

It is not an unprimeable number, because it can be changed into a prime (9257243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544536 + ... + 544552.

It is an arithmetic number, because the mean of its divisors is an integer number (180516).

Almost surely, 2^9257248 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 9257248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12997152).

9257248 is an abundant number, since it is smaller than the sum of its proper divisors (16737056).

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

9257248 is a wasteful number, since it uses less digits than its factorization.

9257248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 50 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 9257248 is about 3042.5725956828. The cubic root of 9257248 is about 209.9716363809.

The spelling of 9257248 in words is "nine million, two hundred fifty-seven thousand, two hundred forty-eight".