258433317 has 24 divisors (see below), whose sum is σ = 378607320. Its totient is φ = 169850880.

The previous prime is 258433249. The next prime is 258433319. The reversal of 258433317 is 713334852.

It can be written as a sum of positive squares in 4 ways, for example, as 4955076 + 253478241 = 2226^2 + 15921^2 .

It is not a de Polignac number, because 258433317 - 2¹² = 258429221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258433319) 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, 339217 + ... + 339977.

It is an arithmetic number, because the mean of its divisors is an integer number (15775305).

Almost surely, 2^258433317 is an apocalyptic number.

It is an amenable number.

258433317 is a deficient number, since it is larger than the sum of its proper divisors (120174003).

258433317 is a wasteful number, since it uses less digits than its factorization.

258433317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1250 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 258433317 is about 16075.8613144055. The cubic root of 258433317 is about 636.9658769521.

The spelling of 258433317 in words is "two hundred fifty-eight million, four hundred thirty-three thousand, three hundred seventeen".