193842 has 36 divisors (see below), whose sum is σ = 466830. Its totient is φ = 58080.

The previous prime is 193841. The next prime is 193847. The reversal of 193842 is 248391.

It can be written as a sum of positive squares in only one way, i.e., 184041 + 9801 = 429^2 + 99^2 .

It is not an unprimeable number, because it can be changed into a prime (193841) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2134 + ... + 2222.

2¹⁹³⁸⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233415).

193842 is an abundant number, since it is smaller than the sum of its proper divisors (272988).

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

193842 is a wasteful number, since it uses less digits than its factorization.

193842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

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

The square root of 193842 is about 440.2749141162. The cubic root of 193842 is about 57.8738837179.

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

The spelling of 193842 in words is "one hundred ninety-three thousand, eight hundred forty-two".