19642 has 16 divisors (see below), whose sum is σ = 35712. Its totient is φ = 7920.

The previous prime is 19609. The next prime is 19661. The reversal of 19642 is 24691.

It is an Ulam number.

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

19642 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 7 ways as a sum of consecutive naturals, for example, 292 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

19642 is a Friedman number, since it can be written as (6/2)^9-41, using all its digits and the basic arithmetic operations.

2¹⁹⁶⁴² is an apocalyptic number.

19642 is a deficient number, since it is larger than the sum of its proper divisors (16070).

19642 is a wasteful number, since it uses less digits than its factorization.

19642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93.

The product of its digits is 432, while the sum is 22.

The square root of 19642 is about 140.1499197288. The cubic root of 19642 is about 26.9812398258.

The spelling of 19642 in words is "nineteen thousand, six hundred forty-two".