33238273 has 2 divisors, whose sum is σ = 33238274. Its totient is φ = 33238272.

The previous prime is 33238253. The next prime is 33238279. The reversal of 33238273 is 37283233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30338064 + 2900209 = 5508^2 + 1703^2 .

It is a cyclic number.

It is not a de Polignac number, because 33238273 - 2⁹ = 33237761 is a prime.

It is a super-2 number, since 2×33238273² = 2209565584045058, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33238279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16619136 + 16619137.

It is an arithmetic number, because the mean of its divisors is an integer number (16619137).

Almost surely, 2^33238273 is an apocalyptic number.

It is an amenable number.

33238273 is a deficient number, since it is larger than the sum of its proper divisors (1).

33238273 is an equidigital number, since it uses as much as digits as its factorization.

33238273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 31.

The square root of 33238273 is about 5765.2643477988. The cubic root of 33238273 is about 321.5235711107.

The spelling of 33238273 in words is "thirty-three million, two hundred thirty-eight thousand, two hundred seventy-three".