8007101 has 4 divisors (see below), whose sum is σ = 8014812. Its totient is φ = 7999392.

The previous prime is 8007091. The next prime is 8007121. The reversal of 8007101 is 1017008.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 3705625 + 4301476 = 1925^2 + 2074^2 .

It is a cyclic number.

It is not a de Polignac number, because 8007101 - 2¹⁰ = 8006077 is a prime.

It is a super-2 number, since 2×8007101² = 128227332848402, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8007101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2000 + ... + 4473.

It is an arithmetic number, because the mean of its divisors is an integer number (2003703).

Almost surely, 2^8007101 is an apocalyptic number.

It is an amenable number.

8007101 is a deficient number, since it is larger than the sum of its proper divisors (7711).

8007101 is a wasteful number, since it uses less digits than its factorization.

8007101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7710.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 8007101 is about 2829.6821376261. The cubic root of 8007101 is about 200.0591575002.

The spelling of 8007101 in words is "eight million, seven thousand, one hundred one".