33242593 has 2 divisors, whose sum is σ = 33242594. Its totient is φ = 33242592.

The previous prime is 33242591. The next prime is 33242617. The reversal of 33242593 is 39524233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32353344 + 889249 = 5688^2 + 943^2 .

It is a cyclic number.

It is not a de Polignac number, because 33242593 - 2¹ = 33242591 is a prime.

It is a super-2 number, since 2×33242593² = 2210139978727298, which contains 22 as substring.

Together with 33242591, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (33242591) 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, 16621296 + 16621297.

It is an arithmetic number, because the mean of its divisors is an integer number (16621297).

Almost surely, 2^33242593 is an apocalyptic number.

It is an amenable number.

33242593 is a deficient number, since it is larger than the sum of its proper divisors (1).

33242593 is an equidigital number, since it uses as much as digits as its factorization.

33242593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19440, while the sum is 31.

The square root of 33242593 is about 5765.6389932080. The cubic root of 33242593 is about 321.5375000500.

The spelling of 33242593 in words is "thirty-three million, two hundred forty-two thousand, five hundred ninety-three".