258393 has 4 divisors (see below), whose sum is σ = 344528. Its totient is φ = 172260.

The previous prime is 258389. The next prime is 258403. The reversal of 258393 is 393852.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 258393 - 2² = 258389 is a prime.

It is a D-number.

It is a Duffinian number.

258393 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 258393.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258393.

It is not an unprimeable number, because it can be changed into a prime (258353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43063 + ... + 43068.

It is an arithmetic number, because the mean of its divisors is an integer number (86132).

2²⁵⁸³⁹³ is an apocalyptic number.

It is an amenable number.

258393 is a deficient number, since it is larger than the sum of its proper divisors (86135).

258393 is an equidigital number, since it uses as much as digits as its factorization.

258393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86134.

The product of its digits is 6480, while the sum is 30.

The square root of 258393 is about 508.3237157560. The cubic root of 258393 is about 63.6932751852.

The spelling of 258393 in words is "two hundred fifty-eight thousand, three hundred ninety-three".