242658 has 48 divisors (see below), whose sum is σ = 609336. Its totient is φ = 69120.

The previous prime is 242647. The next prime is 242659. The reversal of 242658 is 856242.

242658 is a `hidden beast` number, since 2 + 4 + 2 + 658 = 666.

242658 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 131769 + 110889 = 363^2 + 333^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

Its product of digits (3840) is a multiple of the sum of its prime divisors (96).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242658.

It is not an unprimeable number, because it can be changed into a prime (242659) by changing a digit.

242658 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3948 + ... + 4008.

2²⁴²⁶⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668).

242658 is an abundant number, since it is smaller than the sum of its proper divisors (366678).

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

242658 is a wasteful number, since it uses less digits than its factorization.

242658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 96 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 242658 is about 492.6032886614. The cubic root of 242658 is about 62.3732256929.

It can be divided in two parts, 242 and 658, that added together give a square (900 = 30²).

The spelling of 242658 in words is "two hundred forty-two thousand, six hundred fifty-eight".