221963 has 8 divisors (see below), whose sum is σ = 260832. Its totient is φ = 184896.

The previous prime is 221957. The next prime is 221987. The reversal of 221963 is 369122.

221963 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221963 - 2⁸ = 221707 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170 + ... + 687.

It is an arithmetic number, because the mean of its divisors is an integer number (32604).

2²²¹⁹⁶³ is an apocalyptic number.

221963 is a deficient number, since it is larger than the sum of its proper divisors (38869).

221963 is an equidigital number, since it uses as much as digits as its factorization.

221963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901.

The product of its digits is 648, while the sum is 23.

The square root of 221963 is about 471.1294938762. The cubic root of 221963 is about 60.5471253621.

The spelling of 221963 in words is "two hundred twenty-one thousand, nine hundred sixty-three".