33005213 has 2 divisors, whose sum is σ = 33005214. Its totient is φ = 33005212.

The previous prime is 33005201. The next prime is 33005227. The reversal of 33005213 is 31250033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27426169 + 5579044 = 5237^2 + 2362^2 .

It is a cyclic number.

It is not a de Polignac number, because 33005213 - 2¹⁰ = 33004189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33005191 and 33005200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33005243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16502606 + 16502607.

It is an arithmetic number, because the mean of its divisors is an integer number (16502607).

Almost surely, 2^33005213 is an apocalyptic number.

It is an amenable number.

33005213 is a deficient number, since it is larger than the sum of its proper divisors (1).

33005213 is an equidigital number, since it uses as much as digits as its factorization.

33005213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 33005213 is about 5745.0163620307. The cubic root of 33005213 is about 320.7703218845.

Adding to 33005213 its reverse (31250033), we get a palindrome (64255246).

The spelling of 33005213 in words is "thirty-three million, five thousand, two hundred thirteen".