242380971 has 64 divisors (see below), whose sum is σ = 434380800. Its totient is φ = 130636800.

The previous prime is 242380937. The next prime is 242380973. The reversal of 242380971 is 179083242.

242380971 = 350² + 351² + ... + 916².

It is not a de Polignac number, because 242380971 - 2¹⁰ = 242379947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242380973) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239715 + ... + 240723.

It is an arithmetic number, because the mean of its divisors is an integer number (6787200).

Almost surely, 2^242380971 is an apocalyptic number.

242380971 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242380971 is a deficient number, since it is larger than the sum of its proper divisors (191999829).

242380971 is a wasteful number, since it uses less digits than its factorization.

242380971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 242380971 is about 15568.5892424458. The cubic root of 242380971 is about 623.4948065248.

The spelling of 242380971 in words is "two hundred forty-two million, three hundred eighty thousand, nine hundred seventy-one".