321563 has 16 divisors (see below), whose sum is σ = 387072. Its totient is φ = 264000.

The previous prime is 321553. The next prime is 321569. The reversal of 321563 is 365123.

It is not a de Polignac number, because 321563 - 2⁴ = 321547 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7823 + ... + 7863.

It is an arithmetic number, because the mean of its divisors is an integer number (24192).

2³²¹⁵⁶³ is an apocalyptic number.

321563 is a deficient number, since it is larger than the sum of its proper divisors (65509).

321563 is a wasteful number, since it uses less digits than its factorization.

321563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106.

The product of its digits is 540, while the sum is 20.

The square root of 321563 is about 567.0652519772. The cubic root of 321563 is about 68.5102192294.

Adding to 321563 its reverse (365123), we get a palindrome (686686).

The spelling of 321563 in words is "three hundred twenty-one thousand, five hundred sixty-three".