258107 has 2 divisors, whose sum is σ = 258108. Its totient is φ = 258106.

The previous prime is 258101. The next prime is 258109. The reversal of 258107 is 701852.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 258107 - 2¹⁶ = 192571 is a prime.

Together with 258109, it forms a pair of twin primes.

It is a Chen prime.

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

It is not a weakly prime, because it can be changed into another prime (258101) 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, 129053 + 129054.

It is an arithmetic number, because the mean of its divisors is an integer number (129054).

2²⁵⁸¹⁰⁷ is an apocalyptic number.

258107 is a deficient number, since it is larger than the sum of its proper divisors (1).

258107 is an equidigital number, since it uses as much as digits as its factorization.

258107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 258107 is about 508.0423210718. The cubic root of 258107 is about 63.6697670642.

Adding to 258107 its reverse (701852), we get a palindrome (959959).

The spelling of 258107 in words is "two hundred fifty-eight thousand, one hundred seven".