223967 has 4 divisors (see below), whose sum is σ = 231720. Its totient is φ = 216216.

The previous prime is 223963. The next prime is 223969. The reversal of 223967 is 769322.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 223967 - 2² = 223963 is a prime.

It is a super-2 number, since 2×223967² = 100322434178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29), and also a Moran number because the ratio is a prime number: 7723 = 223967 / (2 + 2 + 3 + 9 + 6 + 7).

It is a d-powerful number, because it can be written as 2 + 2⁵ + 9² + 3¹¹ + 6⁶ + 7² .

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3833 + ... + 3890.

It is an arithmetic number, because the mean of its divisors is an integer number (57930).

2²²³⁹⁶⁷ is an apocalyptic number.

223967 is a deficient number, since it is larger than the sum of its proper divisors (7753).

223967 is an equidigital number, since it uses as much as digits as its factorization.

223967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7752.

The product of its digits is 4536, while the sum is 29.

The square root of 223967 is about 473.2515187509. The cubic root of 223967 is about 60.7287969269.

The spelling of 223967 in words is "two hundred twenty-three thousand, nine hundred sixty-seven".