8006797 has 2 divisors, whose sum is σ = 8006798. Its totient is φ = 8006796.

The previous prime is 8006753. The next prime is 8006819. The reversal of 8006797 is 7976008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6007401 + 1999396 = 2451^2 + 1414^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8006797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8006597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4003398 + 4003399.

It is an arithmetic number, because the mean of its divisors is an integer number (4003399).

Almost surely, 2^8006797 is an apocalyptic number.

8006797 is the 1513-rd centered heptagonal number.

It is an amenable number.

8006797 is a deficient number, since it is larger than the sum of its proper divisors (1).

8006797 is an equidigital number, since it uses as much as digits as its factorization.

8006797 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 8006797 is about 2829.6284208355. The cubic root of 8006797 is about 200.0566256328.

The spelling of 8006797 in words is "eight million, six thousand, seven hundred ninety-seven".