4019 has 2 divisors, whose sum is σ = 4020. Its totient is φ = 4018.

The previous prime is 4013. The next prime is 4021. The reversal of 4019 is 9104.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4019 - 2^{4} = 4003 is a prime.

It is a super-2 number, since 2×4019^{2} = 32304722, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 4021, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 8 and base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 3994 and 4012.

It is not a weakly prime, because it can be changed into another prime (4013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2009 + 2010.

It is an arithmetic number, because the mean of its divisors is an integer number (2010).

4019 is a deficient number, since it is larger than the sum of its proper divisors (1).

4019 is an equidigital number, since it uses as much as digits as its factorization.

4019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 4019 is about 63.3955834424. The cubic root of 4019 is about 15.8991046791.

Subtracting from 4019 its sum of digits (14), we obtain a triangular number (4005 = T_{89}).

The spelling of 4019 in words is "four thousand, nineteen".

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