83283300 has 216 divisors, whose sum is σ = 279143592. Its totient is φ = 20736000.

The previous prime is 83283293. The next prime is 83283307. The reversal of 83283300 is 338238.

83283300 is a `hidden beast` number, since 8 + 328 + 330 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (83283293) and next prime (83283307).

It can be written as a sum of positive squares in 12 ways, for example, as 50381604 + 32901696 = 7098^2 + 5736^2 .

It is a super-2 number, since 2×83283300² = 13872216117780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83283307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1365270 + ... + 1365330.

Almost surely, 2^83283300 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 83283300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139571796).

83283300 is an abundant number, since it is smaller than the sum of its proper divisors (195860292).

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

83283300 is a wasteful number, since it uses less digits than its factorization.

83283300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 83283300 is about 9125.9684417600. The cubic root of 83283300 is about 436.7027985822.

It can be divided in two parts, 8328 and 3300, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 83283300 in words is "eighty-three million, two hundred eighty-three thousand, three hundred".