258971 has 2 divisors, whose sum is σ = 258972. Its totient is φ = 258970.

The previous prime is 258967. The next prime is 258977. The reversal of 258971 is 179852.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 258971 - 2² = 258967 is a prime.

It is not a weakly prime, because it can be changed into another prime (258977) 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, 129485 + 129486.

It is an arithmetic number, because the mean of its divisors is an integer number (129486).

2²⁵⁸⁹⁷¹ is an apocalyptic number.

258971 is a deficient number, since it is larger than the sum of its proper divisors (1).

258971 is an equidigital number, since it uses as much as digits as its factorization.

258971 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 32.

The square root of 258971 is about 508.8919335183. The cubic root of 258971 is about 63.7407317040.

The spelling of 258971 in words is "two hundred fifty-eight thousand, nine hundred seventy-one".