19975 has 12 divisors (see below), whose sum is σ = 26784. Its totient is φ = 14720.

The previous prime is 19973. The next prime is 19979. The reversal of 19975 is 57991.

It is not a de Polignac number, because 19975 - 2¹ = 19973 is a prime.

It is a Duffinian number.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19973) 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, 402 + ... + 448.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

2¹⁹⁹⁷⁵ is an apocalyptic number.

19975 is a deficient number, since it is larger than the sum of its proper divisors (6809).

19975 is a wasteful number, since it uses less digits than its factorization.

19975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 69 counting only the distinct ones).

The product of its digits is 2835, while the sum is 31.

The square root of 19975 is about 141.3329402510. The cubic root of 19975 is about 27.1328613767.

It can be divided in two parts, 1997 and 5, that added together give a palindrome (2002).

The spelling of 19975 in words is "nineteen thousand, nine hundred seventy-five".