33105253 has 2 divisors, whose sum is σ = 33105254. Its totient is φ = 33105252.

The previous prime is 33105223. The next prime is 33105263. The reversal of 33105253 is 35250133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32970564 + 134689 = 5742^2 + 367^2 .

It is an emirp because it is prime and its reverse (35250133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33105253 - 2⁵ = 33105221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33105223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16552626 + 16552627.

It is an arithmetic number, because the mean of its divisors is an integer number (16552627).

Almost surely, 2^33105253 is an apocalyptic number.

It is an amenable number.

33105253 is a deficient number, since it is larger than the sum of its proper divisors (1).

33105253 is an equidigital number, since it uses as much as digits as its factorization.

33105253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 33105253 is about 5753.7164511297. The cubic root of 33105253 is about 321.0940838272.

Adding to 33105253 its reverse (35250133), we get a palindrome (68355386).

The spelling of 33105253 in words is "thirty-three million, one hundred five thousand, two hundred fifty-three".