248523 has 16 divisors (see below), whose sum is σ = 383616. Its totient is φ = 141440.

The previous prime is 248509. The next prime is 248533. The reversal of 248523 is 325842.

It is not a de Polignac number, because 248523 - 2⁸ = 248267 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 248493 and 248502.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248523.

It is not an unprimeable number, because it can be changed into a prime (248533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (23976).

2²⁴⁸⁵²³ is an apocalyptic number.

248523 is a deficient number, since it is larger than the sum of its proper divisors (135093).

248523 is a wasteful number, since it uses less digits than its factorization.

248523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474.

The product of its digits is 1920, while the sum is 24.

The square root of 248523 is about 498.5208120029. The cubic root of 248523 is about 62.8717471477.

The spelling of 248523 in words is "two hundred forty-eight thousand, five hundred twenty-three".