242512 has 20 divisors (see below), whose sum is σ = 491040. Its totient is φ = 115808.

The previous prime is 242509. The next prime is 242519. The reversal of 242512 is 215242.

242512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242519) 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, 39 + ... + 697.

It is an arithmetic number, because the mean of its divisors is an integer number (24552).

2²⁴²⁵¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245520).

242512 is an abundant number, since it is smaller than the sum of its proper divisors (248528).

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

242512 is a wasteful number, since it uses less digits than its factorization.

242512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its digits is 160, while the sum is 16.

The square root of 242512 is about 492.4550740931. The cubic root of 242512 is about 62.3607138204.

Adding to 242512 its reverse (215242), we get a palindrome (457754).

It can be divided in two parts, 242 and 512, that multiplied together give a square (123904 = 352²).

The spelling of 242512 in words is "two hundred forty-two thousand, five hundred twelve".