33804101 has 2 divisors, whose sum is σ = 33804102. Its totient is φ = 33804100.

The previous prime is 33804091. The next prime is 33804119. The reversal of 33804101 is 10140833.

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., 22420225 + 11383876 = 4735^2 + 3374^2 .

It is a cyclic number.

It is not a de Polignac number, because 33804101 - 2¹⁸ = 33541957 is a prime.

It is a super-2 number, since 2×33804101² = 2285434488836402, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33804191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16902050 + 16902051.

It is an arithmetic number, because the mean of its divisors is an integer number (16902051).

Almost surely, 2^33804101 is an apocalyptic number.

It is an amenable number.

33804101 is a deficient number, since it is larger than the sum of its proper divisors (1).

33804101 is an equidigital number, since it uses as much as digits as its factorization.

33804101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 33804101 is about 5814.1294275240. The cubic root of 33804101 is about 323.3377884626.

Adding to 33804101 its reverse (10140833), we get a palindrome (43944934).

The spelling of 33804101 in words is "thirty-three million, eight hundred four thousand, one hundred one".