83834100 has 162 divisors, whose sum is σ = 305835894. Its totient is φ = 19152000.

The previous prime is 83834087. The next prime is 83834111. The reversal of 83834100 is 143838.

It can be written as a sum of positive squares in 3 ways, for example, as 1764 + 83832336 = 42^2 + 9156^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 43150 + ... + 45050.

Almost surely, 2^83834100 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 83834100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152917947).

83834100 is an abundant number, since it is smaller than the sum of its proper divisors (222001794).

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

83834100 is a wasteful number, since it uses less digits than its factorization.

83834100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83834100 is about 9156.0963297685. The cubic root of 83834100 is about 437.6634056273.

Adding to 83834100 its reverse (143838), we get a palindrome (83977938).

The spelling of 83834100 in words is "eighty-three million, eight hundred thirty-four thousand, one hundred".