19725 has 12 divisors (see below), whose sum is σ = 32736. Its totient is φ = 10480.

The previous prime is 19717. The next prime is 19727. The reversal of 19725 is 52791.

It is not a de Polignac number, because 19725 - 2³ = 19717 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

19725 is a lucky number.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 19695 and 19704.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57 + ... + 206.

It is an arithmetic number, because the mean of its divisors is an integer number (2728).

2¹⁹⁷²⁵ is an apocalyptic number.

19725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19725 is a deficient number, since it is larger than the sum of its proper divisors (13011).

19725 is a wasteful number, since it uses less digits than its factorization.

19725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 271 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 19725 is about 140.4457190519. The cubic root of 19725 is about 27.0191907462.

Subtracting from 19725 its sum of digits (24), we obtain a triangular number (19701 = T₁₉₈).

It can be divided in two parts, 197 and 25, that added together give a palindrome (222).

The spelling of 19725 in words is "nineteen thousand, seven hundred twenty-five".