83238912 has 84 divisors (see below), whose sum is σ = 240666270. Its totient is φ = 27721728.

The previous prime is 83238893. The next prime is 83238913. The reversal of 83238912 is 21983238.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 81432576 + 1806336 = 9024^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83238913) 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, 73164 + ... + 74292.

Almost surely, 2^83238912 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 83238912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120333135).

83238912 is an abundant number, since it is smaller than the sum of its proper divisors (157427358).

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

83238912 is a wasteful number, since it uses less digits than its factorization.

83238912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1134 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 83238912 is about 9123.5361565568. The cubic root of 83238912 is about 436.6252007579.

The spelling of 83238912 in words is "eighty-three million, two hundred thirty-eight thousand, nine hundred twelve".