258321 has 8 divisors (see below), whose sum is σ = 393664. Its totient is φ = 147600.

The previous prime is 258319. The next prime is 258329. The reversal of 258321 is 123852.

258321 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 258321 - 2¹ = 258319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 12301 = 258321 / (2 + 5 + 8 + 3 + 2 + 1).

It is a d-powerful number, because it can be written as 2² + 5⁶ + 3¹¹ + 8 + 2¹⁶ + 1 .

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

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258321.

It is not an unprimeable number, because it can be changed into a prime (258329) 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, 6130 + ... + 6171.

It is an arithmetic number, because the mean of its divisors is an integer number (49208).

2²⁵⁸³²¹ is an apocalyptic number.

258321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

258321 is a deficient number, since it is larger than the sum of its proper divisors (135343).

258321 is a wasteful number, since it uses less digits than its factorization.

258321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12311.

The product of its digits is 480, while the sum is 21.

The square root of 258321 is about 508.2528898098. The cubic root of 258321 is about 63.6873586913.

The spelling of 258321 in words is "two hundred fifty-eight thousand, three hundred twenty-one".