83123200 has 132 divisors (see below), whose sum is σ = 219307392. Its totient is φ = 31129600.

The previous prime is 83123189. The next prime is 83123207. The reversal of 83123200 is 232138.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83123207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435105 + ... + 435295.

Almost surely, 2^83123200 is an apocalyptic number.

83123200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109653696).

83123200 is an abundant number, since it is smaller than the sum of its proper divisors (136184192).

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

83123200 is a wasteful number, since it uses less digits than its factorization.

83123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 83123200 is about 9117.1925503414. The cubic root of 83123200 is about 436.4227865945.

Adding to 83123200 its reverse (232138), we get a palindrome (83355338).

The spelling of 83123200 in words is "eighty-three million, one hundred twenty-three thousand, two hundred".