258617241 has 24 divisors (see below), whose sum is σ = 379154880. Its totient is φ = 169847136.

The previous prime is 258617239. The next prime is 258617269. The reversal of 258617241 is 142716852.

258617241 is a `hidden beast` number, since 2 + 586 + 1 + 72 + 4 + 1 = 666.

It is not a de Polignac number, because 258617241 - 2¹ = 258617239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258617196 and 258617205.

It is not an unprimeable number, because it can be changed into a prime (258617201) 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 23 ways as a sum of consecutive naturals, for example, 209815 + ... + 211043.

It is an arithmetic number, because the mean of its divisors is an integer number (15798120).

Almost surely, 2^258617241 is an apocalyptic number.

It is an amenable number.

258617241 is a deficient number, since it is larger than the sum of its proper divisors (120537639).

258617241 is a wasteful number, since it uses less digits than its factorization.

258617241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1562 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 258617241 is about 16081.5807991627. The cubic root of 258617241 is about 637.1169481995.

The spelling of 258617241 in words is "two hundred fifty-eight million, six hundred seventeen thousand, two hundred forty-one".