83785962 has 64 divisors (see below), whose sum is σ = 192689280. Its totient is φ = 24059904.

The previous prime is 83785943. The next prime is 83785967. The reversal of 83785962 is 26958738.

Its product of digits (725760) is a multiple of the sum of its prime divisors (567).

It is not an unprimeable number, because it can be changed into a prime (83785967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237178 + ... + 237530.

It is an arithmetic number, because the mean of its divisors is an integer number (3010770).

Almost surely, 2^83785962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83785962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96344640).

83785962 is an abundant number, since it is smaller than the sum of its proper divisors (108903318).

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

83785962 is a wasteful number, since it uses less digits than its factorization.

83785962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567.

The product of its digits is 725760, while the sum is 48.

The square root of 83785962 is about 9153.4672119367. The cubic root of 83785962 is about 437.5796200126.

The spelling of 83785962 in words is "eighty-three million, seven hundred eighty-five thousand, nine hundred sixty-two".