221793 has 24 divisors (see below), whose sum is σ = 357504. Its totient is φ = 121440.

The previous prime is 221773. The next prime is 221797. The reversal of 221793 is 397122.

It is not a de Polignac number, because 221793 - 2⁶ = 221729 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4696 + ... + 4742.

It is an arithmetic number, because the mean of its divisors is an integer number (14896).

2²²¹⁷⁹³ is an apocalyptic number.

It is an amenable number.

221793 is a deficient number, since it is larger than the sum of its proper divisors (135711).

221793 is a wasteful number, since it uses less digits than its factorization.

221793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 74 counting only the distinct ones).

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

The square root of 221793 is about 470.9490418294. The cubic root of 221793 is about 60.5316638660.

The spelling of 221793 in words is "two hundred twenty-one thousand, seven hundred ninety-three".