248742 has 24 divisors (see below), whose sum is σ = 580944. Its totient is φ = 76464.

The previous prime is 248737. The next prime is 248749. The reversal of 248742 is 247842.

248742 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248749) 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 11 ways as a sum of consecutive naturals, for example, 298 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (24206).

2²⁴⁸⁷⁴² is an apocalyptic number.

248742 is an abundant number, since it is smaller than the sum of its proper divisors (332202).

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

248742 is a wasteful number, since it uses less digits than its factorization.

248742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1081 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 248742 is about 498.7404134417. The cubic root of 248742 is about 62.8902093828.

Subtracting from 248742 its reverse (247842), we obtain a square (900 = 30²).

It can be divided in two parts, 248 and 742, that added together give a triangular number (990 = T₄₄).

The spelling of 248742 in words is "two hundred forty-eight thousand, seven hundred forty-two".