8972101 has 2 divisors, whose sum is σ = 8972102. Its totient is φ = 8972100.

The previous prime is 8972083. The next prime is 8972129. The reversal of 8972101 is 1012798.

It is an a-pointer prime, because the next prime (8972129) can be obtained adding 8972101 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8208225 + 763876 = 2865^2 + 874^2 .

It is a cyclic number.

It is not a de Polignac number, because 8972101 - 2⁵ = 8972069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8972101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8972191) 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 as a sum of consecutive naturals, namely, 4486050 + 4486051.

It is an arithmetic number, because the mean of its divisors is an integer number (4486051).

Almost surely, 2^8972101 is an apocalyptic number.

It is an amenable number.

8972101 is a deficient number, since it is larger than the sum of its proper divisors (1).

8972101 is an equidigital number, since it uses as much as digits as its factorization.

8972101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 8972101 is about 2995.3465575789. The cubic root of 8972101 is about 207.7932255401.

Adding to 8972101 its reverse (1012798), we get a palindrome (9984899).

The spelling of 8972101 in words is "eight million, nine hundred seventy-two thousand, one hundred one".