258361 has 8 divisors (see below), whose sum is σ = 273600. Its totient is φ = 243600.

The previous prime is 258353. The next prime is 258373. The reversal of 258361 is 163852.

It is a happy number.

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

It is not a de Polignac number, because 258361 - 2³ = 258353 is a prime.

It is an Ulam number.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258331) 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 in 7 ways as a sum of consecutive naturals, for example, 1636 + ... + 1786.

It is an arithmetic number, because the mean of its divisors is an integer number (34200).

2²⁵⁸³⁶¹ is an apocalyptic number.

It is an amenable number.

258361 is a deficient number, since it is larger than the sum of its proper divisors (15239).

258361 is a wasteful number, since it uses less digits than its factorization.

258361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239.

The product of its digits is 1440, while the sum is 25.

The square root of 258361 is about 508.2922387761. The cubic root of 258361 is about 63.6906457680.

The spelling of 258361 in words is "two hundred fifty-eight thousand, three hundred sixty-one".