27938033 has 2 divisors, whose sum is σ = 27938034. Its totient is φ = 27938032.

The previous prime is 27938023. The next prime is 27938039. The reversal of 27938033 is 33083972.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14047504 + 13890529 = 3748^2 + 3727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27938033 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 27937984 and 27938002.

It is not a weakly prime, because it can be changed into another prime (27938039) 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, 13969016 + 13969017.

It is an arithmetic number, because the mean of its divisors is an integer number (13969017).

Almost surely, 2^27938033 is an apocalyptic number.

It is an amenable number.

27938033 is a deficient number, since it is larger than the sum of its proper divisors (1).

27938033 is an equidigital number, since it uses as much as digits as its factorization.

27938033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 27938033 is about 5285.6440477959. The cubic root of 27938033 is about 303.4347218400.

The spelling of 27938033 in words is "twenty-seven million, nine hundred thirty-eight thousand, thirty-three".