223745 has 8 divisors (see below), whose sum is σ = 272616. Its totient is φ = 176256.

The previous prime is 223711. The next prime is 223747. The reversal of 223745 is 547322.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 223729 = 4^2 + 473^2 .

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 223745 - 2⁶ = 223681 is a prime.

It is a d-powerful number, because it can be written as 2⁵ + 2¹³ + 7⁶ + 3⁹ + 4³ + 5⁷ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 223745.

It is not an unprimeable number, because it can be changed into a prime (223747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (34077).

It is a Proth number, since it is equal to 437 ⋅ 2⁹ + 1 and 437 < 2⁹.

2²²³⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

223745 is a deficient number, since it is larger than the sum of its proper divisors (48871).

223745 is an equidigital number, since it uses as much as digits as its factorization.

223745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691.

The product of its digits is 1680, while the sum is 23.

The square root of 223745 is about 473.0169130169. The cubic root of 223745 is about 60.7087251457.

The spelling of 223745 in words is "two hundred twenty-three thousand, seven hundred forty-five".