242100585 has 24 divisors (see below), whose sum is σ = 420216264. Its totient is φ = 128943360.

The previous prime is 242100581. The next prime is 242100601. The reversal of 242100585 is 585001242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3583449 + 238517136 = 1893^2 + 15444^2 .

It is not a de Polignac number, because 242100585 - 2² = 242100581 is a prime.

It is a super-2 number, since 2×242100585² = 117225386514684450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242100581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33669 + ... + 40221.

It is an arithmetic number, because the mean of its divisors is an integer number (17509011).

Almost surely, 2^242100585 is an apocalyptic number.

It is an amenable number.

242100585 is a deficient number, since it is larger than the sum of its proper divisors (178115679).

242100585 is a wasteful number, since it uses less digits than its factorization.

242100585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7385 (or 7382 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 242100585 is about 15559.5817745851. The cubic root of 242100585 is about 623.2542944257.

The spelling of 242100585 in words is "two hundred forty-two million, one hundred thousand, five hundred eighty-five".