248814 has 24 divisors (see below), whose sum is σ = 563472. Its totient is φ = 79200.

The previous prime is 248813. The next prime is 248821. The reversal of 248814 is 418842.

248814 is nontrivially palindromic in base 14.

248814 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114 + ... + 714.

It is an arithmetic number, because the mean of its divisors is an integer number (23478).

2²⁴⁸⁸¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281736).

248814 is an abundant number, since it is smaller than the sum of its proper divisors (314658).

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

248814 is a wasteful number, since it uses less digits than its factorization.

248814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 629 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 248814 is about 498.8125900576. The cubic root of 248814 is about 62.8962767917.

The spelling of 248814 in words is "two hundred forty-eight thousand, eight hundred fourteen".