83813200 has 30 divisors (see below), whose sum is σ = 201362174. Its totient is φ = 33525120.

The previous prime is 83813159. The next prime is 83813201. The reversal of 83813200 is 231838.

It can be written as a sum of positive squares in 3 ways, for example, as 9784384 + 74028816 = 3128^2 + 8604^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83813201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104367 + ... + 105166.

Almost surely, 2^83813200 is an apocalyptic number.

83813200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83813200 is an abundant number, since it is smaller than the sum of its proper divisors (117548974).

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

83813200 is a wasteful number, since it uses less digits than its factorization.

83813200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209551 (or 209540 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 83813200 is about 9154.9549425434. The cubic root of 83813200 is about 437.6270324990.

The spelling of 83813200 in words is "eighty-three million, eight hundred thirteen thousand, two hundred".