9258 has 8 divisors (see below), whose sum is σ = 18528. Its totient is φ = 3084.

The previous prime is 9257. The next prime is 9277. The reversal of 9258 is 8529.

It is a sphenic number, since it is the product of 3 distinct primes.

9258 is an admirable number.

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

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9258.

It is not an unprimeable number, because it can be changed into a prime (9257) 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, 766 + ... + 777.

It is an arithmetic number, because the mean of its divisors is an integer number (2316).

2⁹²⁵⁸ is an apocalyptic number.

9258 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9264).

9258 is a wasteful number, since it uses less digits than its factorization.

9258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548.

The product of its digits is 720, while the sum is 24.

The square root of 9258 is about 96.2185013394. The cubic root of 9258 is about 20.9977321814.

Subtracting from 9258 its reverse (8529), we obtain a 6-th power (729 = 3⁶).

The spelling of 9258 in words is "nine thousand, two hundred fifty-eight".