83313168 has 40 divisors (see below), whose sum is σ = 215956416. Its totient is φ = 27676800.

The previous prime is 83313161. The next prime is 83313173. The reversal of 83313168 is 86131338.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83313161) 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 7 ways as a sum of consecutive naturals, for example, 12138 + ... + 17718.

Almost surely, 2^83313168 is an apocalyptic number.

It is an amenable number.

83313168 is an abundant number, since it is smaller than the sum of its proper divisors (132643248).

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

83313168 is a wasteful number, since it uses less digits than its factorization.

83313168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903 (or 5897 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 83313168 is about 9127.6047241322. The cubic root of 83313168 is about 436.7549974434.

The spelling of 83313168 in words is "eighty-three million, three hundred thirteen thousand, one hundred sixty-eight".