8973101 has 2 divisors, whose sum is σ = 8973102. Its totient is φ = 8973100.

The previous prime is 8973071. The next prime is 8973103. The reversal of 8973101 is 1013798.

8973101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7557001 + 1416100 = 2749^2 + 1190^2 .

It is a cyclic number.

It is not a de Polignac number, because 8973101 - 2¹⁸ = 8710957 is a prime.

Together with 8973103, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is equal to p₆₀₀₇₇₉ and since 8973101 and 600779 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8973103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4486550 + 4486551.

It is an arithmetic number, because the mean of its divisors is an integer number (4486551).

Almost surely, 2^8973101 is an apocalyptic number.

It is an amenable number.

8973101 is a deficient number, since it is larger than the sum of its proper divisors (1).

8973101 is an equidigital number, since it uses as much as digits as its factorization.

8973101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 8973101 is about 2995.5134785208. The cubic root of 8973101 is about 207.8009452297.

Adding to 8973101 its reverse (1013798), we get a palindrome (9986899).

The spelling of 8973101 in words is "eight million, nine hundred seventy-three thousand, one hundred one".