17972101 has 4 divisors (see below), whose sum is σ = 20539552. Its totient is φ = 15404652.

The previous prime is 17972099. The next prime is 17972117. The reversal of 17972101 is 10127971.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 17972101 - 2¹ = 17972099 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 17972101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17972191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1283715 + ... + 1283728.

It is an arithmetic number, because the mean of its divisors is an integer number (5134888).

Almost surely, 2^17972101 is an apocalyptic number.

It is an amenable number.

17972101 is a deficient number, since it is larger than the sum of its proper divisors (2567451).

17972101 is an equidigital number, since it uses as much as digits as its factorization.

17972101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567450.

The product of its (nonzero) digits is 882, while the sum is 28.

The square root of 17972101 is about 4239.3514834229. The cubic root of 17972101 is about 261.9386692876.

The spelling of 17972101 in words is "seventeen million, nine hundred seventy-two thousand, one hundred one".