33873269 has 2 divisors, whose sum is σ = 33873270. Its totient is φ = 33873268.

The previous prime is 33873263. The next prime is 33873271. The reversal of 33873269 is 96237833.

33873269 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33466225 + 407044 = 5785^2 + 638^2 .

It is a cyclic number.

It is not a de Polignac number, because 33873269 - 2⁴ = 33873253 is a prime.

It is a super-2 number, since 2×33873269² = 2294796705492722, which contains 22 as substring.

Together with 33873271, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33873263) 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 as a sum of consecutive naturals, namely, 16936634 + 16936635.

It is an arithmetic number, because the mean of its divisors is an integer number (16936635).

Almost surely, 2^33873269 is an apocalyptic number.

It is an amenable number.

33873269 is a deficient number, since it is larger than the sum of its proper divisors (1).

33873269 is an equidigital number, since it uses as much as digits as its factorization.

33873269 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 163296, while the sum is 41.

The square root of 33873269 is about 5820.0746558786. The cubic root of 33873269 is about 323.5581699259.

The spelling of 33873269 in words is "thirty-three million, eight hundred seventy-three thousand, two hundred sixty-nine".