221733 has 12 divisors (see below), whose sum is σ = 325728. Its totient is φ = 145320.

The previous prime is 221729. The next prime is 221737. The reversal of 221733 is 337122.

It is an interprime number because it is at equal distance from previous prime (221729) and next prime (221737).

It is not a de Polignac number, because 221733 - 2² = 221729 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221733.

It is not an unprimeable number, because it can be changed into a prime (221737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (27144).

2²²¹⁷³³ is an apocalyptic number.

It is an amenable number.

221733 is a deficient number, since it is larger than the sum of its proper divisors (103995).

221733 is a wasteful number, since it uses less digits than its factorization.

221733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 421 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 221733 is about 470.8853363612. The cubic root of 221733 is about 60.5262049811.

Adding to 221733 its reverse (337122), we get a palindrome (558855).

The spelling of 221733 in words is "two hundred twenty-one thousand, seven hundred thirty-three".