33800509 has 8 divisors (see below), whose sum is σ = 35285760. Its totient is φ = 32340000.

The previous prime is 33800479. The next prime is 33800513. The reversal of 33800509 is 90500833.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33800509 - 2⁷ = 33800381 is a prime.

It is a super-2 number, since 2×33800509² = 2284948817318162, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33800549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3367 + ... + 8884.

It is an arithmetic number, because the mean of its divisors is an integer number (4410720).

Almost surely, 2^33800509 is an apocalyptic number.

It is an amenable number.

33800509 is a deficient number, since it is larger than the sum of its proper divisors (1485251).

33800509 is a wasteful number, since it uses less digits than its factorization.

33800509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12371.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 33800509 is about 5813.8205166654. The cubic root of 33800509 is about 323.3263355083.

The spelling of 33800509 in words is "thirty-three million, eight hundred thousand, five hundred nine".