8004165157 has 4 divisors (see below), whose sum is σ = 8017663500. Its totient is φ = 7990666816.

The previous prime is 8004165151. The next prime is 8004165161. The reversal of 8004165157 is 7515614008.

It is a Cunningham number, because it is equal to 89466²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4921583716 + 3082581441 = 70154^2 + 55521^2 .

It is a cyclic number.

It is not a de Polignac number, because 8004165157 - 2¹¹ = 8004163109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004165151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6748282 + ... + 6749467.

It is an arithmetic number, because the mean of its divisors is an integer number (2004415875).

Almost surely, 2^8004165157 is an apocalyptic number.

It is an amenable number.

8004165157 is a deficient number, since it is larger than the sum of its proper divisors (13498343).

8004165157 is a wasteful number, since it uses less digits than its factorization.

8004165157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13498342.

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 8004165157 is about 89466.0000055887. Note that the first 5 decimals coincide. The cubic root of 8004165157 is about 2000.3470361961.

The spelling of 8004165157 in words is "eight billion, four million, one hundred sixty-five thousand, one hundred fifty-seven".