248192 has 32 divisors (see below), whose sum is σ = 567120. Its totient is φ = 105984.

The previous prime is 248189. The next prime is 248201. The reversal of 248192 is 291842.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

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, 758 + ... + 1034.

2²⁴⁸¹⁹² 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 248192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283560).

248192 is an abundant number, since it is smaller than the sum of its proper divisors (318928).

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

248192 is an equidigital number, since it uses as much as digits as its factorization.

248192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 248192 is about 498.1887192621. The cubic root of 248192 is about 62.8438224430.

The spelling of 248192 in words is "two hundred forty-eight thousand, one hundred ninety-two".