10248 has 32 divisors (see below), whose sum is σ = 29760. Its totient is φ = 2880.

The previous prime is 10247. The next prime is 10253. The reversal of 10248 is 84201.

10248 is nontrivially palindromic in base 11 and base 13.

10248 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (10243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138 + ... + 198.

It is an arithmetic number, because the mean of its divisors is an integer number (930).

2¹⁰²⁴⁸ 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 10248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14880).

10248 is an abundant number, since it is smaller than the sum of its proper divisors (19512).

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

10248 is a wasteful number, since it uses less digits than its factorization.

10248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10248 is about 101.2324058788. The cubic root of 10248 is about 21.7209944974.

Adding to 10248 its reverse (84201), we get a palindrome (94449).

It can be divided in two parts, 1024 and 8, that multiplied together give a 13-th power (8192 = 2¹³).

The spelling of 10248 in words is "ten thousand, two hundred forty-eight".