258329 has 2 divisors, whose sum is σ = 258330. Its totient is φ = 258328.

The previous prime is 258319. The next prime is 258331. The reversal of 258329 is 923852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235225 + 23104 = 485^2 + 152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-258329 is a prime.

Together with 258331, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 2² + 5⁶ + 3¹¹ + 8 + 2¹⁶ + 9 .

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

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258329.

It is not a weakly prime, because it can be changed into another prime (258319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129164 + 129165.

It is an arithmetic number, because the mean of its divisors is an integer number (129165).

2²⁵⁸³²⁹ is an apocalyptic number.

It is an amenable number.

258329 is a deficient number, since it is larger than the sum of its proper divisors (1).

258329 is an equidigital number, since it uses as much as digits as its factorization.

258329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4320, while the sum is 29.

The square root of 258329 is about 508.2607598468. The cubic root of 258329 is about 63.6880161337.

The spelling of 258329 in words is "two hundred fifty-eight thousand, three hundred twenty-nine".