33808961 has 8 divisors (see below), whose sum is σ = 35642880. Its totient is φ = 31980528.

The previous prime is 33808949. The next prime is 33808963. The reversal of 33808961 is 16980833.

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 33808961 - 2¹⁸ = 33546817 is a prime.

It is a super-2 number, since 2×33808961² = 2286091687799042, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33808963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19835 + ... + 21471.

It is an arithmetic number, because the mean of its divisors is an integer number (4455360).

Almost surely, 2^33808961 is an apocalyptic number.

It is an amenable number.

33808961 is a deficient number, since it is larger than the sum of its proper divisors (1833919).

33808961 is a wasteful number, since it uses less digits than its factorization.

33808961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743.

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 33808961 is about 5814.5473598553. The cubic root of 33808961 is about 323.3532830950.

The spelling of 33808961 in words is "thirty-three million, eight hundred eight thousand, nine hundred sixty-one".