83832830424729 has 15 divisors (see below), whose sum is σ = 121161220044293. Its totient is φ = 55856562458148.

The previous prime is 83832830424727. The next prime is 83832830424767. The reversal of 83832830424729 is 92742403823838.

The square root of 83832830424729 is 9156027.

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

83832830424729 is a `hidden beast` number, since 8 + 3 + 83 + 2 + 8 + 304 + 247 + 2 + 9 = 666.

It is not a de Polignac number, because 83832830424729 - 2¹ = 83832830424727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83832830424727) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 47986736634 + ... + 47986738380.

Almost surely, 2^{83832830424729} is an apocalyptic number.

83832830424729 is the 9156027-th square number.

83832830424729 is the 4578014-th centered octagonal number.

It is an amenable number.

83832830424729 is a deficient number, since it is larger than the sum of its proper divisors (37328389619564).

83832830424729 is an frugal number, since it uses more digits than its factorization.

83832830424729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 83832830424729 in words is "eighty-three trillion, eight hundred thirty-two billion, eight hundred thirty million, four hundred twenty-four thousand, seven hundred twenty-nine".