248144 has 20 divisors (see below), whose sum is σ = 518196. Its totient is φ = 114432.

The previous prime is 248141. The next prime is 248161. The reversal of 248144 is 441842.

It can be written as a sum of positive squares in 2 ways, for example, as 78400 + 169744 = 280^2 + 412^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 389 + ... + 804.

2²⁴⁸¹⁴⁴ is an apocalyptic number.

It is an amenable number.

248144 is an abundant number, since it is smaller than the sum of its proper divisors (270052).

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

248144 is a wasteful number, since it uses less digits than its factorization.

248144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1208 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 248144 is about 498.1405424175. The cubic root of 248144 is about 62.8397708782.

Adding to 248144 its reverse (441842), we get a palindrome (689986).

The spelling of 248144 in words is "two hundred forty-eight thousand, one hundred forty-four".