8008065 has 56 divisors (see below), whose sum is σ = 15608040. Its totient is φ = 3942432.

The previous prime is 8008009. The next prime is 8008081. The reversal of 8008065 is 5608008.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 5022081 = 1728^2 + 2241^2 .

It is not a de Polignac number, because 8008065 - 2⁸ = 8007809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

8008065 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 615999 + ... + 616011.

It is an arithmetic number, because the mean of its divisors is an integer number (278715).

Almost surely, 2^8008065 is an apocalyptic number.

It is an amenable number.

8008065 is a deficient number, since it is larger than the sum of its proper divisors (7599975).

8008065 is an frugal number, since it uses more digits than its factorization.

8008065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8008065 is about 2829.8524696528. The cubic root of 8008065 is about 200.0671857612.

The spelling of 8008065 in words is "eight million, eight thousand, sixty-five".