19722 has 16 divisors (see below), whose sum is σ = 41760. Its totient is φ = 6192.

The previous prime is 19717. The next prime is 19727. The reversal of 19722 is 22791.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19717) and next prime (19727).

It is an Ulam number.

It is a plaindrome in base 7 and base 11.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (19727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 200.

It is an arithmetic number, because the mean of its divisors is an integer number (2610).

2¹⁹⁷²² is an apocalyptic number.

19722 is an abundant number, since it is smaller than the sum of its proper divisors (22038).

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 (20880).

19722 is a wasteful number, since it uses less digits than its factorization.

19722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197.

The product of its digits is 252, while the sum is 21.

The square root of 19722 is about 140.4350383629. The cubic root of 19722 is about 27.0178208825.

Subtracting from 19722 its sum of digits (21), we obtain a triangular number (19701 = T₁₉₈).

It can be divided in two parts, 197 and 22, that multiplied together give a palindrome (4334).

The spelling of 19722 in words is "nineteen thousand, seven hundred twenty-two".