258291 has 12 divisors (see below), whose sum is σ = 407160. Its totient is φ = 156480.

The previous prime is 258283. The next prime is 258299. The reversal of 258291 is 192852.

258291 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (258283) and next prime (258299).

It is not a de Polignac number, because 258291 - 2³ = 258283 is a prime.

258291 is a lucky number.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258291.

It is not an unprimeable number, because it can be changed into a prime (258299) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1206 + ... + 1403.

It is an arithmetic number, because the mean of its divisors is an integer number (33930).

2²⁵⁸²⁹¹ is an apocalyptic number.

258291 is a deficient number, since it is larger than the sum of its proper divisors (148869).

258291 is a wasteful number, since it uses less digits than its factorization.

258291 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2623 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 258291 is about 508.2233760858. The cubic root of 258291 is about 63.6848931610.

It can be divided in two parts, 258 and 291, that multiplied together give a triangular number (75078 = T₃₈₇).

The spelling of 258291 in words is "two hundred fifty-eight thousand, two hundred ninety-one".