258413 has 2 divisors, whose sum is σ = 258414. Its totient is φ = 258412.

The previous prime is 258407. The next prime is 258421. The reversal of 258413 is 314852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 228484 + 29929 = 478^2 + 173^2 .

It is a cyclic number.

It is not a de Polignac number, because 258413 - 2⁸ = 258157 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129206 + 129207.

It is an arithmetic number, because the mean of its divisors is an integer number (129207).

2²⁵⁸⁴¹³ is an apocalyptic number.

It is an amenable number.

258413 is a deficient number, since it is larger than the sum of its proper divisors (1).

258413 is an equidigital number, since it uses as much as digits as its factorization.

258413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 960, while the sum is 23.

The square root of 258413 is about 508.3433878787. The cubic root of 258413 is about 63.6949184606.

The spelling of 258413 in words is "two hundred fifty-eight thousand, four hundred thirteen".