242814 has 32 divisors (see below), whose sum is σ = 572544. Its totient is φ = 67680.

The previous prime is 242813. The next prime is 242819. The reversal of 242814 is 418242.

242814 is a modest number, since divided by 814 gives 242 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242814.

It is not an unprimeable number, because it can be changed into a prime (242813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (17892).

2²⁴²⁸¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286272).

242814 is an abundant number, since it is smaller than the sum of its proper divisors (329730).

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

242814 is a wasteful number, since it uses less digits than its factorization.

242814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312.

The product of its digits is 512, while the sum is 21.

The square root of 242814 is about 492.7616056472. The cubic root of 242814 is about 62.3865889983.

It can be divided in two parts, 2428 and 14, that added together give a palindrome (2442).

The spelling of 242814 in words is "two hundred forty-two thousand, eight hundred fourteen".