657146241 has 12 divisors (see below), whose sum is σ = 949548132. Its totient is φ = 437942016.

The previous prime is 657146239. The next prime is 657146261. The reversal of 657146241 is 142641756.

657146241 is a `hidden beast` number, since 6 + 571 + 46 + 2 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 240374016 + 416772225 = 15504^2 + 20415^2 .

It is not a de Polignac number, because 657146241 - 2¹ = 657146239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 657146196 and 657146205.

It is not an unprimeable number, because it can be changed into a prime (657146261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17605 + ... + 40301.

It is an arithmetic number, because the mean of its divisors is an integer number (79129011).

Almost surely, 2^657146241 is an apocalyptic number.

It is an amenable number.

657146241 is a deficient number, since it is larger than the sum of its proper divisors (292401891).

657146241 is a wasteful number, since it uses less digits than its factorization.

657146241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25920 (or 25917 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 657146241 is about 25634.8637796264. The cubic root of 657146241 is about 869.4020822319.

Adding to 657146241 its reverse (142641756), we get a palindrome (799787997).

The spelling of 657146241 in words is "six hundred fifty-seven million, one hundred forty-six thousand, two hundred forty-one".