83634904809 has 21 divisors (see below), whose sum is σ = 125406702669. Its totient is φ = 55751397660.

The previous prime is 83634904721. The next prime is 83634904823. The reversal of 83634904809 is 90840943638.

It is a happy number.

The square root of 83634904809 is 289197.

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

It is not a de Polignac number, because 83634904809 - 2¹⁹ = 83634380521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83634904849) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7802964 + ... + 7813674.

Almost surely, 2^83634904809 is an apocalyptic number.

83634904809 is the 289197-th square number.

83634904809 is the 144599-th centered octagonal number.

It is an amenable number.

83634904809 is a deficient number, since it is larger than the sum of its proper divisors (41771797860).

83634904809 is an frugal number, since it uses more digits than its factorization.

83634904809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21440 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 83634904809 in words is "eighty-three billion, six hundred thirty-four million, nine hundred four thousand, eight hundred nine".