8005097 has 2 divisors, whose sum is σ = 8005098. Its totient is φ = 8005096.

The previous prime is 8005051. The next prime is 8005103. The reversal of 8005097 is 7905008.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7778521 + 226576 = 2789^2 + 476^2 .

It is a cyclic number.

It is not a de Polignac number, because 8005097 - 2¹⁴ = 7988713 is a prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (8005007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4002548 + 4002549.

It is an arithmetic number, because the mean of its divisors is an integer number (4002549).

Almost surely, 2^8005097 is an apocalyptic number.

It is an amenable number.

8005097 is a deficient number, since it is larger than the sum of its proper divisors (1).

8005097 is an equidigital number, since it uses as much as digits as its factorization.

8005097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 8005097 is about 2829.3280120905. The cubic root of 8005097 is about 200.0424659826.

The spelling of 8005097 in words is "eight million, five thousand, ninety-seven".