221973 has 8 divisors (see below), whose sum is σ = 308928. Its totient is φ = 141504.

The previous prime is 221957. The next prime is 221987. The reversal of 221973 is 379122.

221973 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 not a de Polignac number, because 221973 - 2⁴ = 221957 is a prime.

It is an Ulam number.

It is a congruent 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, 1540 + ... + 1677.

It is an arithmetic number, because the mean of its divisors is an integer number (38616).

2²²¹⁹⁷³ is an apocalyptic number.

221973 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

221973 is a deficient number, since it is larger than the sum of its proper divisors (86955).

221973 is a wasteful number, since it uses less digits than its factorization.

221973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243.

The product of its digits is 756, while the sum is 24.

The square root of 221973 is about 471.1401065501. The cubic root of 221973 is about 60.5480346160.

The spelling of 221973 in words is "two hundred twenty-one thousand, nine hundred seventy-three".