33819041 has 2 divisors, whose sum is σ = 33819042. Its totient is φ = 33819040.

The previous prime is 33819029. The next prime is 33819043. The reversal of 33819041 is 14091833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21715600 + 12103441 = 4660^2 + 3479^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33819041 is a prime.

It is a super-2 number, since 2×33819041² = 2287455068319362, which contains 22 as substring.

Together with 33819043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 33818995 and 33819013.

It is not a weakly prime, because it can be changed into another prime (33819043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16909520 + 16909521.

It is an arithmetic number, because the mean of its divisors is an integer number (16909521).

Almost surely, 2^33819041 is an apocalyptic number.

It is an amenable number.

33819041 is a deficient number, since it is larger than the sum of its proper divisors (1).

33819041 is an equidigital number, since it uses as much as digits as its factorization.

33819041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 33819041 is about 5815.4140867182. The cubic root of 33819041 is about 323.3854153771.

The spelling of 33819041 in words is "thirty-three million, eight hundred nineteen thousand, forty-one".