33385273 has 2 divisors, whose sum is σ = 33385274. Its totient is φ = 33385272.

The previous prime is 33385271. The next prime is 33385291. The reversal of 33385273 is 37258333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20903184 + 12482089 = 4572^2 + 3533^2 .

It is a cyclic number.

It is not a de Polignac number, because 33385273 - 2¹ = 33385271 is a prime.

It is a super-2 number, since 2×33385273² = 2229152906569058, which contains 22 as substring.

Together with 33385271, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (33385271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16692636 + 16692637.

It is an arithmetic number, because the mean of its divisors is an integer number (16692637).

Almost surely, 2^33385273 is an apocalyptic number.

It is an amenable number.

33385273 is a deficient number, since it is larger than the sum of its proper divisors (1).

33385273 is an equidigital number, since it uses as much as digits as its factorization.

33385273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 34.

The square root of 33385273 is about 5777.9990481135. Note that the first 3 decimals coincide. The cubic root of 33385273 is about 321.9968654454.

The spelling of 33385273 in words is "thirty-three million, three hundred eighty-five thousand, two hundred seventy-three".