83905000 has 80 divisors (see below), whose sum is σ = 199764180. Its totient is φ = 33024000.

The previous prime is 83904991. The next prime is 83905037. The reversal of 83905000 is 50938.

It can be written as a sum of positive squares in 10 ways, for example, as 401956 + 83503044 = 634^2 + 9138^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 484914 + ... + 485086.

Almost surely, 2^83905000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83905000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99882090).

83905000 is an abundant number, since it is smaller than the sum of its proper divisors (115859180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83905000 is a wasteful number, since it uses less digits than its factorization.

83905000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 83905000 is about 9159.9672488497. The cubic root of 83905000 is about 437.7867507893.

Adding to 83905000 its reverse (50938), we get a palindrome (83955938).

The spelling of 83905000 in words is "eighty-three million, nine hundred five thousand".