33800801 has 2 divisors, whose sum is σ = 33800802. Its totient is φ = 33800800.

The previous prime is 33800783. The next prime is 33800813. The reversal of 33800801 is 10800833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33640000 + 160801 = 5800^2 + 401^2 .

It is a cyclic number.

It is not a de Polignac number, because 33800801 - 2⁶ = 33800737 is a prime.

It is a super-2 number, since 2×33800801² = 2284988296483202, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33800891) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16900400 + 16900401.

It is an arithmetic number, because the mean of its divisors is an integer number (16900401).

Almost surely, 2^33800801 is an apocalyptic number.

It is an amenable number.

33800801 is a deficient number, since it is larger than the sum of its proper divisors (1).

33800801 is an equidigital number, since it uses as much as digits as its factorization.

33800801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 33800801 is about 5813.8456291856. The cubic root of 33800801 is about 323.3272665694.

The spelling of 33800801 in words is "thirty-three million, eight hundred thousand, eight hundred one".