83794617729 has 27 divisors (see below), whose sum is σ = 123726977283. Its totient is φ = 54647870832.

The previous prime is 83794617707. The next prime is 83794617743. The reversal of 83794617729 is 92771649738.

The square root of 83794617729 is 289473.

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

83794617729 is a `hidden beast` number, since 8 + 3 + 7 + 9 + 4 + 617 + 7 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43253600625 + 40541017104 = 207975^2 + 201348^2 .

It is not a de Polignac number, because 83794617729 - 2¹³ = 83794609537 is a prime.

It is a super-2 number, since 2×83794617729² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83794617769) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40814667 + ... + 40816719.

Almost surely, 2^83794617729 is an apocalyptic number.

83794617729 is the 289473-rd square number.

83794617729 is the 144737-th centered octagonal number.

It is an amenable number.

83794617729 is a deficient number, since it is larger than the sum of its proper divisors (39932359554).

83794617729 is an frugal number, since it uses more digits than its factorization.

83794617729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 2103 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 83794617729 in words is "eighty-three billion, seven hundred ninety-four million, six hundred seventeen thousand, seven hundred twenty-nine".