33843853097209 has 9 divisors (see below), whose sum is σ = 34783494642351. Its totient is φ = 32928944933160.

The previous prime is 33843853097191. The next prime is 33843853097221. The reversal of 33843853097209 is 90279035834833.

The square root of 33843853097209 is 5817547.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30283944517225 + 3559908579984 = 5503085^2 + 1886772^2 .

It is not a de Polignac number, because 33843853097209 - 2¹³ = 33843853089017 is a prime.

It is a super-2 number, since 2×33843853097209² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33843853097279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 215170624 + ... + 215327854.

It is an arithmetic number, because the mean of its divisors is an integer number (3864832738039).

Almost surely, 2^{33843853097209} is an apocalyptic number.

33843853097209 is the 5817547-th square number.

33843853097209 is the 2908774-th centered octagonal number.

It is an amenable number.

33843853097209 is a deficient number, since it is larger than the sum of its proper divisors (939641545142).

33843853097209 is an frugal number, since it uses more digits than its factorization.

33843853097209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314536 (or 157268 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 64.

The spelling of 33843853097209 in words is "thirty-three trillion, eight hundred forty-three billion, eight hundred fifty-three million, ninety-seven thousand, two hundred nine".