258312 has 32 divisors (see below), whose sum is σ = 662400. Its totient is φ = 83904.

The previous prime is 258299. The next prime is 258317. The reversal of 258312 is 213852.

It is not an unprimeable number, because it can be changed into a prime (258317) by changing a digit.

258312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1014 + ... + 1242.

It is an arithmetic number, because the mean of its divisors is an integer number (20700).

2²⁵⁸³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331200).

258312 is an abundant number, since it is smaller than the sum of its proper divisors (404088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258312 is a wasteful number, since it uses less digits than its factorization.

258312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

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

The square root of 258312 is about 508.2440358725. The cubic root of 258312 is about 63.6866190522.

The spelling of 258312 in words is "two hundred fifty-eight thousand, three hundred twelve".