19775 has 12 divisors (see below), whose sum is σ = 28272. Its totient is φ = 13440.

The previous prime is 19763. The next prime is 19777. The reversal of 19775 is 57791.

19775 = T₄₆ + T₄₇ + ... + T₅₉.

It is not a de Polignac number, because 19775 - 2⁴ = 19759 is a prime.

It is a Duffinian number.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119 + ... + 231.

It is an arithmetic number, because the mean of its divisors is an integer number (2356).

2¹⁹⁷⁷⁵ is an apocalyptic number.

19775 is a deficient number, since it is larger than the sum of its proper divisors (8497).

19775 is a wasteful number, since it uses less digits than its factorization.

19775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its digits is 2205, while the sum is 29.

The square root of 19775 is about 140.6236111043. The cubic root of 19775 is about 27.0420013866.

It can be divided in two parts, 197 and 75, that added together give a palindrome (272).

The spelling of 19775 in words is "nineteen thousand, seven hundred seventy-five".