33540253 has 2 divisors, whose sum is σ = 33540254. Its totient is φ = 33540252.

The previous prime is 33540251. The next prime is 33540257. The reversal of 33540253 is 35204533.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19686969 + 13853284 = 4437^2 + 3722^2 .

It is a cyclic number.

It is not a de Polignac number, because 33540253 - 2¹ = 33540251 is a prime.

It is a super-2 number, since 2×33540253² = 2249897142608018, which contains 22 as substring.

Together with 33540251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33540251) 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, 16770126 + 16770127.

It is an arithmetic number, because the mean of its divisors is an integer number (16770127).

Almost surely, 2^33540253 is an apocalyptic number.

It is an amenable number.

33540253 is a deficient number, since it is larger than the sum of its proper divisors (1).

33540253 is an equidigital number, since it uses as much as digits as its factorization.

33540253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 25.

The square root of 33540253 is about 5791.3947370215. The cubic root of 33540253 is about 322.4943508014.

Adding to 33540253 its reverse (35204533), we get a palindrome (68744786).

The spelling of 33540253 in words is "thirty-three million, five hundred forty thousand, two hundred fifty-three".