258949 has 2 divisors, whose sum is σ = 258950. Its totient is φ = 258948.

The previous prime is 258919. The next prime is 258959. The reversal of 258949 is 949852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 245025 + 13924 = 495^2 + 118^2 .

It is a cyclic number.

It is not a de Polignac number, because 258949 - 2⁵ = 258917 is a prime.

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 (258919) 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, 129474 + 129475.

It is an arithmetic number, because the mean of its divisors is an integer number (129475).

2²⁵⁸⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

258949 is a deficient number, since it is larger than the sum of its proper divisors (1).

258949 is an equidigital number, since it uses as much as digits as its factorization.

258949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25920, while the sum is 37.

The square root of 258949 is about 508.8703174680. The cubic root of 258949 is about 63.7389266939.

The spelling of 258949 in words is "two hundred fifty-eight thousand, nine hundred forty-nine".