83705388 has 48 divisors (see below), whose sum is σ = 211416576. Its totient is φ = 25623360.

The previous prime is 83705387. The next prime is 83705389. The reversal of 83705388 is 88350738.

It is an interprime number because it is at equal distance from previous prime (83705387) and next prime (83705389).

It is not an unprimeable number, because it can be changed into a prime (83705381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31645 + ... + 34187.

It is an arithmetic number, because the mean of its divisors is an integer number (4404512).

Almost surely, 2^83705388 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 83705388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105708288).

83705388 is an abundant number, since it is smaller than the sum of its proper divisors (127711188).

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

83705388 is a wasteful number, since it uses less digits than its factorization.

83705388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 83705388 is about 9149.0648702477. The cubic root of 83705388 is about 437.4393067370.

The spelling of 83705388 in words is "eighty-three million, seven hundred five thousand, three hundred eighty-eight".