258905 has 8 divisors (see below), whose sum is σ = 316872. Its totient is φ = 203008.

The previous prime is 258887. The next prime is 258917. The reversal of 258905 is 509852.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 151321 = 328^2 + 389^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 258905 - 2¹⁴ = 242521 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224 + ... + 753.

It is an arithmetic number, because the mean of its divisors is an integer number (39609).

2²⁵⁸⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

258905 is a deficient number, since it is larger than the sum of its proper divisors (57967).

258905 is an equidigital number, since it uses as much as digits as its factorization.

258905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 258905 is about 508.8270826126. The cubic root of 258905 is about 63.7353163670.

The spelling of 258905 in words is "two hundred fifty-eight thousand, nine hundred five".