242820585 has 80 divisors (see below), whose sum is σ = 503158656. Its totient is φ = 109734912.

The previous prime is 242820583. The next prime is 242820601. The reversal of 242820585 is 585028242.

It is not a de Polignac number, because 242820585 - 2¹ = 242820583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242820583) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 274554 + ... + 275436.

Almost surely, 2^242820585 is an apocalyptic number.

It is an amenable number.

242820585 is an abundant number, since it is smaller than the sum of its proper divisors (260338071).

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

242820585 is an equidigital number, since it uses as much as digits as its factorization.

242820585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 242820585 is about 15582.7014666906. The cubic root of 242820585 is about 623.8715295802.

The spelling of 242820585 in words is "two hundred forty-two million, eight hundred twenty thousand, five hundred eighty-five".