93642 has 8 divisors (see below), whose sum is σ = 187296. Its totient is φ = 31212.

The previous prime is 93637. The next prime is 93683. The reversal of 93642 is 24639.

It is a sphenic number, since it is the product of 3 distinct primes.

93642 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

93642 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 3 ways as a sum of consecutive naturals, for example, 7798 + ... + 7809.

It is an arithmetic number, because the mean of its divisors is an integer number (23412).

93642 is a Friedman number, since it can be written as (34*9)^2+6, using all its digits and the basic arithmetic operations.

2⁹³⁶⁴² is an apocalyptic number.

93642 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93648).

93642 is a wasteful number, since it uses less digits than its factorization.

93642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15612.

The product of its digits is 1296, while the sum is 24.

The square root of 93642 is about 306.0098037645. The cubic root of 93642 is about 45.4105637602.

The spelling of 93642 in words is "ninety-three thousand, six hundred forty-two".