83800407289 has 9 divisors (see below), whose sum is σ = 84147771087. Its totient is φ = 83454475104.

The previous prime is 83800407281. The next prime is 83800407311. The reversal of 83800407289 is 98270400838.

The square root of 83800407289 is 289483.

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., 22597605625 + 61202801664 = 150325^2 + 247392^2 .

It is not a de Polignac number, because 83800407289 - 2³ = 83800407281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83800407281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 97555342 + ... + 97556200.

It is an arithmetic number, because the mean of its divisors is an integer number (9349752343).

Almost surely, 2^83800407289 is an apocalyptic number.

83800407289 is the 289483-rd square number.

83800407289 is the 144742-nd centered octagonal number.

It is an amenable number.

83800407289 is a deficient number, since it is larger than the sum of its proper divisors (347363798).

83800407289 is an frugal number, since it uses more digits than its factorization.

83800407289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 83800407289 by its sum of digits (49), we get a square (4106219957161 = 2026381²).

The spelling of 83800407289 in words is "eighty-three billion, eight hundred million, four hundred seven thousand, two hundred eighty-nine".