83233600 has 42 divisors (see below), whose sum is σ = 204810614. Its totient is φ = 33292800.

The previous prime is 83233571. The next prime is 83233603. The reversal of 83233600 is 633238.

It can be written as a sum of positive squares in 3 ways, for example, as 4804864 + 78428736 = 2192^2 + 8856^2 .

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 (83233603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24411 + ... + 27610.

Almost surely, 2^83233600 is an apocalyptic number.

83233600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83233600 is an abundant number, since it is smaller than the sum of its proper divisors (121577014).

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

83233600 is a wasteful number, since it uses less digits than its factorization.

83233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52043 (or 52028 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 83233600 is about 9123.2450367180. The cubic root of 83233600 is about 436.6159126243.

Adding to 83233600 its reverse (633238), we get a palindrome (83866838).

The spelling of 83233600 in words is "eighty-three million, two hundred thirty-three thousand, six hundred".