195972001 has 3 divisors (see below), whose sum is σ = 195986001. Its totient is φ = 195958002.

The previous prime is 195971957. The next prime is 195972011. The reversal of 195972001 is 100279591.

The square root of 195972001 is 13999.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 100279591 = 571 ⋅175621.

It is not a de Polignac number, because 195972001 - 2²⁵ = 162417569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (195972011) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7000 + ... + 20998.

It is an arithmetic number, because the mean of its divisors is an integer number (65328667).

Almost surely, 2^195972001 is an apocalyptic number.

195972001 is the 13999-th square number.

195972001 is the 7000-th centered octagonal number.

It is an amenable number.

195972001 is a deficient number, since it is larger than the sum of its proper divisors (14000).

195972001 is an frugal number, since it uses more digits than its factorization.

195972001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27998 (or 13999 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 34.

The cubic root of 195972001 is about 580.8509121426.

It can be divided in two parts, 195 and 972001, that added together give a square (972196 = 986²).

The spelling of 195972001 in words is "one hundred ninety-five million, nine hundred seventy-two thousand, one".