683166 has 24 divisors (see below), whose sum is σ = 1503432. Its totient is φ = 206800.

The previous prime is 683159. The next prime is 683201. The reversal of 683166 is 661386.

683166 = 29² + 30² + ... + 127².

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 683166.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 256 + ... + 1196.

It is an arithmetic number, because the mean of its divisors is an integer number (62643).

2⁶⁸³¹⁶⁶ is an apocalyptic number.

683166 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 683166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751716).

683166 is an abundant number, since it is smaller than the sum of its proper divisors (820266).

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

683166 is a wasteful number, since it uses less digits than its factorization.

683166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 957 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 683166 is about 826.5385653434. The cubic root of 683166 is about 88.0728563313.

The spelling of 683166 in words is "six hundred eighty-three thousand, one hundred sixty-six".