321764 has 12 divisors (see below), whose sum is σ = 567084. Its totient is φ = 159744.

The previous prime is 321757. The next prime is 321779. The reversal of 321764 is 467123.

321764 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 168100 = 392^2 + 410^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321764.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 872 + ... + 1184.

It is an arithmetic number, because the mean of its divisors is an integer number (47257).

2³²¹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

321764 is a deficient number, since it is larger than the sum of its proper divisors (245320).

321764 is a wasteful number, since it uses less digits than its factorization.

321764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 572 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 321764 is about 567.2424525721. The cubic root of 321764 is about 68.5244908609.

Adding to 321764 its reverse (467123), we get a palindrome (788887).

The spelling of 321764 in words is "three hundred twenty-one thousand, seven hundred sixty-four".