83202112 has 56 divisors (see below), whose sum is σ = 189748160. Its totient is φ = 35458560.

The previous prime is 83202037. The next prime is 83202113. The reversal of 83202112 is 21120238.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 83202112.

It is not an unprimeable number, because it can be changed into a prime (83202113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102187 + ... + 102997.

It is an arithmetic number, because the mean of its divisors is an integer number (3388360).

Almost surely, 2^83202112 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 83202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94874080).

83202112 is an abundant number, since it is smaller than the sum of its proper divisors (106546048).

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

83202112 is a wasteful number, since it uses less digits than its factorization.

83202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 83202112 is about 9121.5191717170. The cubic root of 83202112 is about 436.5608471383.

The spelling of 83202112 in words is "eighty-three million, two hundred two thousand, one hundred twelve".