8004181 has 2 divisors, whose sum is σ = 8004182. Its totient is φ = 8004180.

The previous prime is 8004179. The next prime is 8004193. The reversal of 8004181 is 1814008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4040100 + 3964081 = 2010^2 + 1991^2 .

It is a cyclic number.

It is not a de Polignac number, because 8004181 - 2¹ = 8004179 is a prime.

It is a super-2 number, since 2×8004181² = 128133826961522, which contains 22 as substring.

Together with 8004179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8004121) 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 as a sum of consecutive naturals, namely, 4002090 + 4002091.

It is an arithmetic number, because the mean of its divisors is an integer number (4002091).

Almost surely, 2^8004181 is an apocalyptic number.

It is an amenable number.

8004181 is a deficient number, since it is larger than the sum of its proper divisors (1).

8004181 is an equidigital number, since it uses as much as digits as its factorization.

8004181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 8004181 is about 2829.1661315660. The cubic root of 8004181 is about 200.0348355987.

Adding to 8004181 its reverse (1814008), we get a palindrome (9818189).

The spelling of 8004181 in words is "eight million, four thousand, one hundred eighty-one".