258192 has 60 divisors (see below), whose sum is σ = 793104. Its totient is φ = 77760.

The previous prime is 258173. The next prime is 258197. The reversal of 258192 is 291852.

It is not an unprimeable number, because it can be changed into a prime (258197) by changing a digit.

258192 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 11 ways as a sum of consecutive naturals, for example, 1503 + ... + 1665.

2²⁵⁸¹⁹² is an apocalyptic number.

258192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396552).

258192 is an abundant number, since it is smaller than the sum of its proper divisors (534912).

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

258192 is a wasteful number, since it uses less digits than its factorization.

258192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 258192 is about 508.1259686338. The cubic root of 258192 is about 63.6767555564.

The spelling of 258192 in words is "two hundred fifty-eight thousand, one hundred ninety-two".