33309973 has 8 divisors (see below), whose sum is σ = 33966296. Its totient is φ = 32659200.

The previous prime is 33309971. The next prime is 33309977. The reversal of 33309973 is 37990333.

It can be written as a sum of positive squares in 4 ways, for example, as 2762244 + 30547729 = 1662^2 + 5527^2 .

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 33309973 - 2¹ = 33309971 is a prime.

It is a super-2 number, since 2×33309973² = 2219108602521458, 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 (33309971) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11953 + ... + 14473.

It is an arithmetic number, because the mean of its divisors is an integer number (4245787).

Almost surely, 2^33309973 is an apocalyptic number.

It is an amenable number.

33309973 is a deficient number, since it is larger than the sum of its proper divisors (656323).

33309973 is a wasteful number, since it uses less digits than its factorization.

33309973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775.

The product of its (nonzero) digits is 45927, while the sum is 37.

The square root of 33309973 is about 5771.4792731153. The cubic root of 33309973 is about 321.7545967864.

The spelling of 33309973 in words is "thirty-three million, three hundred nine thousand, nine hundred seventy-three".