33945013 has 2 divisors, whose sum is σ = 33945014. Its totient is φ = 33945012.

The previous prime is 33945011. The next prime is 33945059. The reversal of 33945013 is 31054933.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27804529 + 6140484 = 5273^2 + 2478^2 .

It is a cyclic number.

It is not a de Polignac number, because 33945013 - 2¹ = 33945011 is a prime.

Together with 33945011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33945011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16972506 + 16972507.

It is an arithmetic number, because the mean of its divisors is an integer number (16972507).

Almost surely, 2^33945013 is an apocalyptic number.

It is an amenable number.

33945013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33945013 is an equidigital number, since it uses as much as digits as its factorization.

33945013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 33945013 is about 5826.2348905618. The cubic root of 33945013 is about 323.7864422338.

Adding to 33945013 its reverse (31054933), we get a palindrome (64999946).

The spelling of 33945013 in words is "thirty-three million, nine hundred forty-five thousand, thirteen".