83066733369 has 27 divisors (see below), whose sum is σ = 125458883823. Its totient is φ = 52957409472.

The previous prime is 83066733359. The next prime is 83066733389. The reversal of 83066733369 is 96333766038.

It is a happy number.

The square root of 83066733369 is 288213.

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., 76748391225 + 6318342144 = 277035^2 + 79488^2 .

It is not a de Polignac number, because 83066733369 - 2⁹ = 83066732857 is a prime.

It is a super-2 number, since 2×83066733369² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83066733329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19884609 + ... + 19888785.

Almost surely, 2^83066733369 is an apocalyptic number.

83066733369 is the 288213-rd square number.

83066733369 is the 144107-th centered octagonal number.

It is an amenable number.

83066733369 is a deficient number, since it is larger than the sum of its proper divisors (42392150454).

83066733369 is an frugal number, since it uses more digits than its factorization.

83066733369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8406 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 83066733369 in words is "eighty-three billion, sixty-six million, seven hundred thirty-three thousand, three hundred sixty-nine".