8008381 has 2 divisors, whose sum is σ = 8008382. Its totient is φ = 8008380.

The previous prime is 8008373. The next prime is 8008387. The reversal of 8008381 is 1838008.

8008381 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5480281 + 2528100 = 2341^2 + 1590^2 .

It is a cyclic number.

It is not a de Polignac number, because 8008381 - 2³ = 8008373 is a prime.

It is a super-2 number, since 2×8008381² = 128268332482322, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8008387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4004190 + 4004191.

It is an arithmetic number, because the mean of its divisors is an integer number (4004191).

Almost surely, 2^8008381 is an apocalyptic number.

It is an amenable number.

8008381 is a deficient number, since it is larger than the sum of its proper divisors (1).

8008381 is an equidigital number, since it uses as much as digits as its factorization.

8008381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 8008381 is about 2829.9083024013. The cubic root of 8008381 is about 200.0698172916.

The spelling of 8008381 in words is "eight million, eight thousand, three hundred eighty-one".