242518329 has 27 divisors (see below), whose sum is σ = 364838383. Its totient is φ = 155231664.

The previous prime is 242518327. The next prime is 242518361. The reversal of 242518329 is 923815242.

It is a happy number.

The square root of 242518329 is 15573.

It is a perfect power (a square), and thus also a powerful number.

242518329 is digitally balanced in base 2, 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 only one way, i.e., 127170729 + 115347600 = 11277^2 + 10740^2 .

It is not a de Polignac number, because 242518329 - 2¹ = 242518327 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 242518293 and 242518302.

It is not an unprimeable number, because it can be changed into a prime (242518327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1354762 + ... + 1354940.

Almost surely, 2^242518329 is an apocalyptic number.

242518329 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

242518329 is the 15573-rd square number.

242518329 is the 7787-th centered octagonal number.

It is an amenable number.

242518329 is a deficient number, since it is larger than the sum of its proper divisors (122320054).

242518329 is an equidigital number, since it uses as much as digits as its factorization.

242518329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The cubic root of 242518329 is about 623.6125630557.

Multiplying 242518329 by its sum of digits (36), we get a square (8730659844 = 93438²).

The spelling of 242518329 in words is "two hundred forty-two million, five hundred eighteen thousand, three hundred twenty-nine".