8005101 has 16 divisors (see below), whose sum is σ = 11637696. Its totient is φ = 4864896.

The previous prime is 8005097. The next prime is 8005103. The reversal of 8005101 is 1015008.

It is a happy number.

It is not a de Polignac number, because 8005101 - 2² = 8005097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2001 + ... + 4473.

It is an arithmetic number, because the mean of its divisors is an integer number (727356).

Almost surely, 2^8005101 is an apocalyptic number.

It is an amenable number.

8005101 is a deficient number, since it is larger than the sum of its proper divisors (3632595).

8005101 is a wasteful number, since it uses less digits than its factorization.

8005101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 8005101 is about 2829.3287189720. The cubic root of 8005101 is about 200.0424993017.

The spelling of 8005101 in words is "eight million, five thousand, one hundred one".