19770 has 16 divisors (see below), whose sum is σ = 47520. Its totient is φ = 5264.

The previous prime is 19763. The next prime is 19777. The reversal of 19770 is 7791.

19770 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (19763) and next prime (19777).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 19770.

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

19770 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, 300 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (2970).

2¹⁹⁷⁷⁰ is an apocalyptic number.

19770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19770 is an abundant number, since it is smaller than the sum of its proper divisors (27750).

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 (23760).

19770 is a wasteful number, since it uses less digits than its factorization.

19770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669.

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 19770 is about 140.6058320270. The cubic root of 19770 is about 27.0397220540.

The spelling of 19770 in words is "nineteen thousand, seven hundred seventy".