83168 has 24 divisors (see below), whose sum is σ = 172368. Its totient is φ = 39424.

The previous prime is 83137. The next prime is 83177. The reversal of 83168 is 86138.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

83168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 680 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2⁸³¹⁶⁸ 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 83168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184).

83168 is an abundant number, since it is smaller than the sum of its proper divisors (89200).

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

83168 is a wasteful number, since it uses less digits than its factorization.

83168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 83168 is about 288.3886266828. The cubic root of 83168 is about 43.6501177182.

The spelling of 83168 in words is "eighty-three thousand, one hundred sixty-eight".