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8819 is a prime number

• 88192 = 77774761 is the smallest square that contains exactly five digits '7'.

8819 has 2 divisors, whose sum is σ = 8820. Its totient is φ = 8818.

The previous prime is 8807. The next prime is 8821. The reversal of 8819 is 9188.

8819 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8819 - 24 = 8803 is a prime.

It is a super-2 number, since 2×88192 = 155549522, which contains 22 as substring.

Together with 8821, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8819.

It is not a weakly prime, because it can be changed into another prime (8839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4409 + 4410.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

28819 is an apocalyptic number.

8819 is a deficient number, since it is larger than the sum of its proper divisors (1).

8819 is an equidigital number, since it uses as much as digits as its factorization.

8819 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 26.

The square root of 8819 is about 93.9095309327. The cubic root of 8819 is about 20.6604502057.

The spelling of 8819 in words is "eight thousand, eight hundred nineteen".