33872173 has 2 divisors, whose sum is σ = 33872174. Its totient is φ = 33872172.

The previous prime is 33872171. The next prime is 33872197. The reversal of 33872173 is 37127833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33327529 + 544644 = 5773^2 + 738^2 .

It is a cyclic number.

It is not a de Polignac number, because 33872173 - 2¹ = 33872171 is a prime.

It is a super-2 number, since 2×33872173² = 2294648207483858, which contains 22 as substring.

Together with 33872171, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33872171) 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 as a sum of consecutive naturals, namely, 16936086 + 16936087.

It is an arithmetic number, because the mean of its divisors is an integer number (16936087).

Almost surely, 2^33872173 is an apocalyptic number.

It is an amenable number.

33872173 is a deficient number, since it is larger than the sum of its proper divisors (1).

33872173 is an equidigital number, since it uses as much as digits as its factorization.

33872173 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 34.

The square root of 33872173 is about 5819.9804982491. The cubic root of 33872173 is about 323.5546802167.

The spelling of 33872173 in words is "thirty-three million, eight hundred seventy-two thousand, one hundred seventy-three".