258117 has 8 divisors (see below), whose sum is σ = 348096. Its totient is φ = 170112.

The previous prime is 258113. The next prime is 258119. The reversal of 258117 is 711852.

258117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 258117 - 2² = 258113 is a prime.

258117 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258117.

It is not an unprimeable number, because it can be changed into a prime (258113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (43512).

2²⁵⁸¹¹⁷ is an apocalyptic number.

It is an amenable number.

258117 is a deficient number, since it is larger than the sum of its proper divisors (89979).

258117 is an equidigital number, since it uses as much as digits as its factorization.

258117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987.

The product of its digits is 560, while the sum is 24.

The square root of 258117 is about 508.0521626762. The cubic root of 258117 is about 63.6705893194.

Adding to 258117 its reverse (711852), we get a palindrome (969969).

The spelling of 258117 in words is "two hundred fifty-eight thousand, one hundred seventeen".