83204352 has 324 divisors, whose sum is σ = 308979216. Its totient is φ = 21288960.

The previous prime is 83204351. The next prime is 83204371. The reversal of 83204352 is 25340238.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (83204351) 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 35 ways as a sum of consecutive naturals, for example, 1241823 + ... + 1241889.

Almost surely, 2^83204352 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 83204352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154489608).

83204352 is an abundant number, since it is smaller than the sum of its proper divisors (225774864).

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

83204352 is a wasteful number, since it uses less digits than its factorization.

83204352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 83204352 is about 9121.6419574548. The cubic root of 83204352 is about 436.5647648575.

The spelling of 83204352 in words is "eighty-three million, two hundred four thousand, three hundred fifty-two".