8002381 has 2 divisors, whose sum is σ = 8002382. Its totient is φ = 8002380.

The previous prime is 8002349. The next prime is 8002399. The reversal of 8002381 is 1832008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6812100 + 1190281 = 2610^2 + 1091^2 .

It is a cyclic number.

It is not a de Polignac number, because 8002381 - 2⁵ = 8002349 is a prime.

It is a super-2 number, since 2×8002381² = 128076203338322, 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 (8003381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4001190 + 4001191.

It is an arithmetic number, because the mean of its divisors is an integer number (4001191).

Almost surely, 2^8002381 is an apocalyptic number.

It is an amenable number.

8002381 is a deficient number, since it is larger than the sum of its proper divisors (1).

8002381 is an equidigital number, since it uses as much as digits as its factorization.

8002381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 8002381 is about 2828.8479987444. The cubic root of 8002381 is about 200.0198396985.

Adding to 8002381 its reverse (1832008), we get a palindrome (9834389).

The spelling of 8002381 in words is "eight million, two thousand, three hundred eighty-one".