258112 has 28 divisors (see below), whose sum is σ = 530860. Its totient is φ = 124416.

The previous prime is 258109. The next prime is 258113. The reversal of 258112 is 211852.

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 50176 = 456^2 + 224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 258112.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2314 + ... + 2422.

2²⁵⁸¹¹² 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 258112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265430).

258112 is an abundant number, since it is smaller than the sum of its proper divisors (272748).

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

258112 is a wasteful number, since it uses less digits than its factorization.

258112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its digits is 160, while the sum is 19.

The square root of 258112 is about 508.0472418978. The cubic root of 258112 is about 63.6701781945.

Adding to 258112 its reverse (211852), we get a palindrome (469964).

The spelling of 258112 in words is "two hundred fifty-eight thousand, one hundred twelve".