242144721 has 135 divisors (see below), whose sum is σ = 480879531. Its totient is φ = 121002336.

The previous prime is 242144701. The next prime is 242144731. The reversal of 242144721 is 127441242.

The square root of 242144721 is 15561.

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

It can be written as a sum of positive squares in only one way, i.e., 35820225 + 206324496 = 5985^2 + 14364^2 .

It is not a de Polignac number, because 242144721 - 2¹¹ = 242142673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242144701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12744450 + ... + 12744468.

Almost surely, 2^242144721 is an apocalyptic number.

242144721 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242144721 is the 15561-st square number.

242144721 is the 7781-st centered octagonal number.

It is an amenable number.

242144721 is a deficient number, since it is larger than the sum of its proper divisors (238734810).

242144721 is a wasteful number, since it uses less digits than its factorization.

242144721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 42 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The cubic root of 242144721 is about 623.2921661228.

Adding to 242144721 its reverse (127441242), we get a palindrome (369585963).

The spelling of 242144721 in words is "two hundred forty-two million, one hundred forty-four thousand, seven hundred twenty-one".