63321 has 4 divisors (see below), whose sum is σ = 84432. Its totient is φ = 42212.

The previous prime is 63317. The next prime is 63331. The reversal of 63321 is 12336.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 63321 - 2² = 63317 is a prime.

It is a d-powerful number, because it can be written as 6² + 3⁷ + 3¹⁰ + 2¹¹ + 1 .

It is a D-number.

63321 is a lucky number.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 63321.

It is not an unprimeable number, because it can be changed into a prime (63311) 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 3 ways as a sum of consecutive naturals, for example, 10551 + ... + 10556.

It is an arithmetic number, because the mean of its divisors is an integer number (21108).

2⁶³³²¹ is an apocalyptic number.

It is an amenable number.

63321 is a deficient number, since it is larger than the sum of its proper divisors (21111).

63321 is a wasteful number, since it uses less digits than its factorization.

63321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21110.

The product of its digits is 108, while the sum is 15.

The square root of 63321 is about 251.6366428007. The cubic root of 63321 is about 39.8580384356.

Adding to 63321 its sum of digits (15), we get a palindrome (63336).

Adding to 63321 its reverse (12336), we get a palindrome (75657).

The spelling of 63321 in words is "sixty-three thousand, three hundred twenty-one".