8005057 has 4 divisors (see below), whose sum is σ = 8082880. Its totient is φ = 7927236.

The previous prime is 8005051. The next prime is 8005097. The reversal of 8005057 is 7505008.

8005057 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 8005057 - 2¹⁹ = 7480769 is a prime.

It is a Duffinian number.

8005057 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8005051) 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 in 3 ways as a sum of consecutive naturals, for example, 38757 + ... + 38962.

It is an arithmetic number, because the mean of its divisors is an integer number (2020720).

Almost surely, 2^8005057 is an apocalyptic number.

It is an amenable number.

8005057 is a deficient number, since it is larger than the sum of its proper divisors (77823).

8005057 is a wasteful number, since it uses less digits than its factorization.

8005057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77822.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 8005057 is about 2829.3209432654. The cubic root of 8005057 is about 200.0421327902.

The spelling of 8005057 in words is "eight million, five thousand, fifty-seven".