33680073 has 32 divisors (see below), whose sum is σ = 54153216. Its totient is φ = 18203328.

The previous prime is 33680047. The next prime is 33680081. The reversal of 33680073 is 37008633.

It is a happy number.

It is not a de Polignac number, because 33680073 - 2⁵ = 33680041 is a prime.

It is a super-2 number, since 2×33680073² = 2268694634570658, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33680073.

It is not an unprimeable number, because it can be changed into a prime (33680093) 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 31 ways as a sum of consecutive naturals, for example, 49411 + ... + 50087.

It is an arithmetic number, because the mean of its divisors is an integer number (1692288).

Almost surely, 2^33680073 is an apocalyptic number.

It is an amenable number.

33680073 is a deficient number, since it is larger than the sum of its proper divisors (20473143).

33680073 is a wasteful number, since it uses less digits than its factorization.

33680073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813.

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 33680073 is about 5803.4535407807. The cubic root of 33680073 is about 322.9418593253.

The spelling of 33680073 in words is "thirty-three million, six hundred eighty thousand, seventy-three".