193242 has 32 divisors (see below), whose sum is σ = 456192. Its totient is φ = 53424.

The previous prime is 193201. The next prime is 193243. The reversal of 193242 is 242391.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193243) by changing a digit.

193242 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1753 + ... + 1859.

It is an arithmetic number, because the mean of its divisors is an integer number (14256).

2¹⁹³²⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228096).

193242 is an abundant number, since it is smaller than the sum of its proper divisors (262950).

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

193242 is a wasteful number, since it uses less digits than its factorization.

193242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162.

The product of its digits is 432, while the sum is 21.

The square root of 193242 is about 439.5929935747. The cubic root of 193242 is about 57.8141095729.

It can be divided in two parts, 193 and 242, that added together give a triangular number (435 = T₂₉).

The spelling of 193242 in words is "one hundred ninety-three thousand, two hundred forty-two".