258505 has 16 divisors (see below), whose sum is σ = 345744. Its totient is φ = 184320.

The previous prime is 258499. The next prime is 258521. The reversal of 258505 is 505852.

It can be written as a sum of positive squares in 8 ways, for example, as 76176 + 182329 = 276^2 + 427^2 .

It is not a de Polignac number, because 258505 - 2⁹ = 257993 is a prime.

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

It is a Duffinian number.

258505 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 258505.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2617 + ... + 2713.

It is an arithmetic number, because the mean of its divisors is an integer number (21609).

2²⁵⁸⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

258505 is a deficient number, since it is larger than the sum of its proper divisors (87239).

258505 is a wasteful number, since it uses less digits than its factorization.

258505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156.

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 258505 is about 508.4338698395. The cubic root of 258505 is about 63.7024764359.

The spelling of 258505 in words is "two hundred fifty-eight thousand, five hundred five".