248128 has 14 divisors (see below), whose sum is σ = 492506. Its totient is φ = 124032.

The previous prime is 248119. The next prime is 248137. The reversal of 248128 is 821842.

It is an interprime number because it is at equal distance from previous prime (248119) and next prime (248137).

It can be written as a sum of positive squares in only one way, i.e., 186624 + 61504 = 432^2 + 248^2 .

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

It is a congruent number.

It is an unprimeable number.

248128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1875 + ... + 2002.

It is an arithmetic number, because the mean of its divisors is an integer number (35179).

2²⁴⁸¹²⁸ is an apocalyptic number.

It is an amenable number.

248128 is a deficient number, since it is larger than the sum of its proper divisors (244378).

248128 is an equidigital number, since it uses as much as digits as its factorization.

248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3879 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The square root of 248128 is about 498.1244824339. The cubic root of 248128 is about 62.8384202404.

The spelling of 248128 in words is "two hundred forty-eight thousand, one hundred twenty-eight".