842193 has 24 divisors (see below), whose sum is σ = 1362816. Its totient is φ = 496800.

The previous prime is 842183. The next prime is 842203. The reversal of 842193 is 391248.

It is an interprime number because it is at equal distance from previous prime (842183) and next prime (842203).

It is not a de Polignac number, because 842193 - 2⁵ = 842161 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (842113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4563 + ... + 4743.

It is an arithmetic number, because the mean of its divisors is an integer number (56784).

2⁸⁴²¹⁹³ is an apocalyptic number.

It is an amenable number.

842193 is a deficient number, since it is larger than the sum of its proper divisors (520623).

842193 is a wasteful number, since it uses less digits than its factorization.

842193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 242 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 842193 is about 917.7107387407. The cubic root of 842193 is about 94.4359185947.

It can be divided in two parts, 842 and 193, that added together give a triangular number (1035 = T₄₅).

The spelling of 842193 in words is "eight hundred forty-two thousand, one hundred ninety-three".