8077001 has 2 divisors, whose sum is σ = 8077002. Its totient is φ = 8077000.

The previous prime is 8076983. The next prime is 8077007. The reversal of 8077001 is 1007708.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5593225 + 2483776 = 2365^2 + 1576^2 .

It is a cyclic number.

It is not a de Polignac number, because 8077001 - 2¹⁸ = 7814857 is a prime.

It is a Chen prime.

It is equal to p₅₄₄₆₁₃ and since 8077001 and 544613 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (8077007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4038500 + 4038501.

It is an arithmetic number, because the mean of its divisors is an integer number (4038501).

Almost surely, 2^8077001 is an apocalyptic number.

It is an amenable number.

8077001 is a deficient number, since it is larger than the sum of its proper divisors (1).

8077001 is an equidigital number, since it uses as much as digits as its factorization.

8077001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 8077001 is about 2842.0065094929. The cubic root of 8077001 is about 200.6396272045.

The spelling of 8077001 in words is "eight million, seventy-seven thousand, one".