83978352 has 60 divisors (see below), whose sum is σ = 236451384. Its totient is φ = 27822720.

The previous prime is 83978329. The next prime is 83978393. The reversal of 83978352 is 25387938.

It is a super-3 number, since 3×83978352³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83978298 and 83978307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23227 + ... + 26597.

Almost surely, 2^83978352 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 83978352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118225692).

83978352 is an abundant number, since it is smaller than the sum of its proper divisors (152473032).

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

83978352 is a wasteful number, since it uses less digits than its factorization.

83978352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3549 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 83978352 is about 9163.9703185901. The cubic root of 83978352 is about 437.9142886015.

The spelling of 83978352 in words is "eighty-three million, nine hundred seventy-eight thousand, three hundred fifty-two".