33873273 has 48 divisors (see below), whose sum is σ = 59195136. Its totient is φ = 18247680.

The previous prime is 33873271. The next prime is 33873289. The reversal of 33873273 is 37237833.

33873273 is a `hidden beast` number, since 3 + 387 + 3 + 273 = 666.

33873273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 33873273 - 2¹ = 33873271 is a prime.

It is a super-2 number, since 2×33873273² = 2294797247465058, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33873271) 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 47 ways as a sum of consecutive naturals, for example, 140433 + ... + 140673.

It is an arithmetic number, because the mean of its divisors is an integer number (1233232).

Almost surely, 2^33873273 is an apocalyptic number.

It is an amenable number.

33873273 is a deficient number, since it is larger than the sum of its proper divisors (25321863).

33873273 is a wasteful number, since it uses less digits than its factorization.

33873273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 371 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 33873273 is about 5820.0749995168. The cubic root of 33873273 is about 323.5581826619.

The spelling of 33873273 in words is "thirty-three million, eight hundred seventy-three thousand, two hundred seventy-three".