19755 has 12 divisors (see below), whose sum is σ = 34320. Its totient is φ = 10512.

The previous prime is 19753. The next prime is 19759. The reversal of 19755 is 55791.

19755 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 19755 - 2¹ = 19753 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

19755 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19751) 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, 175 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (2860).

2¹⁹⁷⁵⁵ is an apocalyptic number.

19755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19755 is a deficient number, since it is larger than the sum of its proper divisors (14565).

19755 is a wasteful number, since it uses less digits than its factorization.

19755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 447 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 19755 is about 140.5524813015. The cubic root of 19755 is about 27.0328817496.

It can be divided in two parts, 197 and 55, that added together give a palindrome (252).

The spelling of 19755 in words is "nineteen thousand, seven hundred fifty-five".