242753017 has 32 divisors (see below), whose sum is σ = 283852800. Its totient is φ = 205837632.

The previous prime is 242753011. The next prime is 242753023. The reversal of 242753017 is 710357242.

It is an interprime number because it is at equal distance from previous prime (242753011) and next prime (242753023).

It is not a de Polignac number, because 242753017 - 2¹⁹ = 242228729 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242753017.

It is not an unprimeable number, because it can be changed into a prime (242753011) 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 31 ways as a sum of consecutive naturals, for example, 1015584 + ... + 1015822.

It is an arithmetic number, because the mean of its divisors is an integer number (8870400).

Almost surely, 2^242753017 is an apocalyptic number.

It is an amenable number.

242753017 is a deficient number, since it is larger than the sum of its proper divisors (41099783).

242753017 is a wasteful number, since it uses less digits than its factorization.

242753017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397.

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 242753017 is about 15580.5332707196. The cubic root of 242753017 is about 623.8136574108.

The spelling of 242753017 in words is "two hundred forty-two million, seven hundred fifty-three thousand, seventeen".