19772 has 6 divisors (see below), whose sum is σ = 34608. Its totient is φ = 9884.

The previous prime is 19763. The next prime is 19777. The reversal of 19772 is 27791.

19772 = T₂₈ + T₂₉ + ... + T₅₁.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19777) by changing a digit.

19772 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 as a sum of consecutive naturals, namely, 2468 + ... + 2475.

It is an arithmetic number, because the mean of its divisors is an integer number (5768).

2¹⁹⁷⁷² is an apocalyptic number.

It is an amenable number.

19772 is a deficient number, since it is larger than the sum of its proper divisors (14836).

19772 is a wasteful number, since it uses less digits than its factorization.

19772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4947 (or 4945 counting only the distinct ones).

The product of its digits is 882, while the sum is 26.

The square root of 19772 is about 140.6129439276. The cubic root of 19772 is about 27.0406338332.

The spelling of 19772 in words is "nineteen thousand, seven hundred seventy-two".