33805998 has 80 divisors (see below), whose sum is σ = 81265536. Its totient is φ = 10478160.

The previous prime is 33805987. The next prime is 33806029. The reversal of 33805998 is 89950833.

33805998 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33805998² = 2285691001552008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 160113 + ... + 160323.

Almost surely, 2^33805998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33805998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40632768).

33805998 is an abundant number, since it is smaller than the sum of its proper divisors (47459538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33805998 is a wasteful number, since it uses less digits than its factorization.

33805998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 33805998 is about 5814.2925622985. The cubic root of 33805998 is about 323.3438366470.

The spelling of 33805998 in words is "thirty-three million, eight hundred five thousand, nine hundred ninety-eight".