258967 has 2 divisors, whose sum is σ = 258968. Its totient is φ = 258966.

The previous prime is 258959. The next prime is 258971. The reversal of 258967 is 769852.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 258967 - 2³ = 258959 is a prime.

It is a Chen prime.

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

258967 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258917) 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, 129483 + 129484.

It is an arithmetic number, because the mean of its divisors is an integer number (129484).

2²⁵⁸⁹⁶⁷ is an apocalyptic number.

258967 is a deficient number, since it is larger than the sum of its proper divisors (1).

258967 is an equidigital number, since it uses as much as digits as its factorization.

258967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 37.

The square root of 258967 is about 508.8880033956. Note that the first 3 decimals coincide. The cubic root of 258967 is about 63.7404035279.

It can be divided in two parts, 258 and 967, that added together give a triangular number (1225 = T₄₉).

The spelling of 258967 in words is "two hundred fifty-eight thousand, nine hundred sixty-seven".