258809 has 2 divisors, whose sum is σ = 258810. Its totient is φ = 258808.

The previous prime is 258803. The next prime is 258827. The reversal of 258809 is 908852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183184 + 75625 = 428^2 + 275^2 .

It is a cyclic number.

It is not a de Polignac number, because 258809 - 2¹² = 254713 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258809.

It is not a weakly prime, because it can be changed into another prime (258803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129404 + 129405.

It is an arithmetic number, because the mean of its divisors is an integer number (129405).

2²⁵⁸⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

258809 is a deficient number, since it is larger than the sum of its proper divisors (1).

258809 is an equidigital number, since it uses as much as digits as its factorization.

258809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 258809 is about 508.7327392649. The cubic root of 258809 is about 63.7274378700.

The spelling of 258809 in words is "two hundred fifty-eight thousand, eight hundred nine".