223729 has 9 divisors (see below), whose sum is σ = 251769. Its totient is φ = 198660.

The previous prime is 223711. The next prime is 223747. The reversal of 223729 is 927322.

Multipling 223729 by its sum of digits (25), we get a square (5593225 = 2365^{2}).

223729 = T_{472} + T_{473}.

The square root of 223729 is 473.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (223711) and next prime (223747).

It is not a de Polignac number, because 223729 - 2^{5} = 223697 is a prime.

It is a super-3 number, since 3×223729^{3} = 33596040733348467, which contains 333 as substring.

It is a d-powerful number, because it can be written as **2**^{11} + **2**^{13} + **7**^{5} + **3**^{10} + **2**^{17} + **9**^{4} .

It is a Duffinian number.

Its product of digits (1512) is a multiple of the sum of its prime divisors (54).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (223759) 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 8 ways as a sum of consecutive naturals, for example, 5182 + ... + 5224.

223729 is a Friedman number, since it can be written as (2^9-32-7)^2, using all its digits and the basic arithmetic operations.

2^{223729} is an apocalyptic number.

223729 is the 473-rd square number.

223729 is the 237-th centered octagonal number.

It is an amenable number.

223729 is a deficient number, since it is larger than the sum of its proper divisors (28040).

223729 is an equidigital number, since it uses as much as digits as its factorization.

223729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 54 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The cubic root of 223729 is about 60.7072780180.

The spelling of 223729 in words is "two hundred twenty-three thousand, seven hundred twenty-nine".

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.067 sec. • engine limits •