258397677 has 24 divisors (see below), whose sum is σ = 384231224. Its totient is φ = 167215104.

The previous prime is 258397661. The next prime is 258397691. The reversal of 258397677 is 776793852.

It can be written as a sum of positive squares in 4 ways, for example, as 103917636 + 154480041 = 10194^2 + 12429^2 .

It is not a de Polignac number, because 258397677 - 2⁴ = 258397661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258392677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223533 + ... + 224685.

Almost surely, 2^258397677 is an apocalyptic number.

It is an amenable number.

258397677 is a deficient number, since it is larger than the sum of its proper divisors (125833547).

258397677 is a wasteful number, since it uses less digits than its factorization.

258397677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1866 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 258397677 is about 16074.7527819248. The cubic root of 258397677 is about 636.9365947272.

The spelling of 258397677 in words is "two hundred fifty-eight million, three hundred ninety-seven thousand, six hundred seventy-seven".