37019 has 2 divisors, whose sum is σ = 37020. Its totient is φ = 37018.

The previous prime is 37013. The next prime is 37021. The reversal of 37019 is 91073.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 37019 - 2⁴ = 37003 is a prime.

It is a super-2 number, since 2×37019² = 2740812722, which contains 22 as substring.

Together with 37021, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₃₉₂₆ and since 37019 and 3926 have the same sum of digits, it is a Honaker prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37019.

It is not a weakly prime, because it can be changed into another prime (37013) 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, 18509 + 18510.

It is an arithmetic number, because the mean of its divisors is an integer number (18510).

2³⁷⁰¹⁹ is an apocalyptic number.

37019 is a deficient number, since it is larger than the sum of its proper divisors (1).

37019 is an equidigital number, since it uses as much as digits as its factorization.

37019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 37019 is about 192.4032224262. The cubic root of 37019 is about 33.3279213436.

The spelling of 37019 in words is "thirty-seven thousand, nineteen".