242661825 has 240 divisors, whose sum is σ = 583355520. Its totient is φ = 97044480.

The previous prime is 242661823. The next prime is 242661829. The reversal of 242661825 is 528166242.

It is a happy number.

It is not a de Polignac number, because 242661825 - 2¹ = 242661823 is a prime.

It is a super-3 number, since 3×242661825³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 242661825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242661823) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4578499 + ... + 4578551.

It is an arithmetic number, because the mean of its divisors is an integer number (2430648).

Almost surely, 2^242661825 is an apocalyptic number.

242661825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242661825 is an abundant number, since it is smaller than the sum of its proper divisors (340693695).

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

242661825 is a wasteful number, since it uses less digits than its factorization.

242661825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 242661825 is about 15577.6065234682. The cubic root of 242661825 is about 623.7355341938.

The spelling of 242661825 in words is "two hundred forty-two million, six hundred sixty-one thousand, eight hundred twenty-five".