83971368 has 144 divisors (see below), whose sum is σ = 252364320. Its totient is φ = 25204608.

The previous prime is 83971361. The next prime is 83971369. The reversal of 83971368 is 86317938.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (83971361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 815205 + ... + 815307.

It is an arithmetic number, because the mean of its divisors is an integer number (1752530).

Almost surely, 2^83971368 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 83971368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126182160).

83971368 is an abundant number, since it is smaller than the sum of its proper divisors (168392952).

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

83971368 is a wasteful number, since it uses less digits than its factorization.

83971368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 83971368 is about 9163.5892531257. The cubic root of 83971368 is about 437.9021486547.

The spelling of 83971368 in words is "eighty-three million, nine hundred seventy-one thousand, three hundred sixty-eight".