83271200 has 36 divisors (see below), whose sum is σ = 203287770. Its totient is φ = 33308160.

The previous prime is 83271193. The next prime is 83271211. The reversal of 83271200 is 217238.

It can be written as a sum of positive squares in 3 ways, for example, as 74580496 + 8690704 = 8636^2 + 2948^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51245 + ... + 52844.

Almost surely, 2^83271200 is an apocalyptic number.

83271200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83271200 is an abundant number, since it is smaller than the sum of its proper divisors (120016570).

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

83271200 is a wasteful number, since it uses less digits than its factorization.

83271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104109 (or 104096 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 83271200 is about 9125.3054743389. The cubic root of 83271200 is about 436.6816484445.

Adding to 83271200 its reverse (217238), we get a palindrome (83488438).

The spelling of 83271200 in words is "eighty-three million, two hundred seventy-one thousand, two hundred".