258389 has 2 divisors, whose sum is σ = 258390. Its totient is φ = 258388.

The previous prime is 258373. The next prime is 258403. The reversal of 258389 is 983852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255025 + 3364 = 505^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 258389 - 2⁴ = 258373 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 2¹⁶ + 5⁶ + 3¹¹ + 8 + 8² + 9 .

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

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258319) 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 as a sum of consecutive naturals, namely, 129194 + 129195.

It is an arithmetic number, because the mean of its divisors is an integer number (129195).

2²⁵⁸³⁸⁹ is an apocalyptic number.

It is an amenable number.

258389 is a deficient number, since it is larger than the sum of its proper divisors (1).

258389 is an equidigital number, since it uses as much as digits as its factorization.

258389 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17280, while the sum is 35.

The square root of 258389 is about 508.3197812401. The cubic root of 258389 is about 63.6929465199.

The spelling of 258389 in words is "two hundred fifty-eight thousand, three hundred eighty-nine".