83009100769 has 27 divisors (see below), whose sum is σ = 97987453011. Its totient is φ = 70115179680.

The previous prime is 83009100739. The next prime is 83009100773. The reversal of 83009100769 is 96700190038.

The square root of 83009100769 is 288113.

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., 23804478369 + 59204622400 = 154287^2 + 243320^2 .

It is not a de Polignac number, because 83009100769 - 2¹¹ = 83009098721 is a prime.

It is a super-2 number, since 2×83009100769² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83009100739) 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, 159326229 + ... + 159326749.

Almost surely, 2^83009100769 is an apocalyptic number.

83009100769 is the 288113-rd square number.

83009100769 is the 144057-th centered octagonal number.

It is an amenable number.

83009100769 is a deficient number, since it is larger than the sum of its proper divisors (14978352242).

83009100769 is an frugal number, since it uses more digits than its factorization.

83009100769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 83009100769 in words is "eighty-three billion, nine million, one hundred thousand, seven hundred sixty-nine".