321966 has 24 divisors (see below), whose sum is σ = 721344. Its totient is φ = 103680.

The previous prime is 321961. The next prime is 321983. The reversal of 321966 is 669123.

It is a happy number.

321966 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321961) 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 11 ways as a sum of consecutive naturals, for example, 270 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (30056).

2³²¹⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360672).

321966 is an abundant number, since it is smaller than the sum of its proper divisors (399378).

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

321966 is a wasteful number, since it uses less digits than its factorization.

321966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 613 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 321966 is about 567.4204790101. The cubic root of 321966 is about 68.5388275088.

The spelling of 321966 in words is "three hundred twenty-one thousand, nine hundred sixty-six".