223964 has 24 divisors (see below), whose sum is σ = 435120. Its totient is φ = 100224.

The previous prime is 223963. The next prime is 223969. The reversal of 223964 is 469322.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 2³ + 2⁷ + 9 + 3¹¹ + 6⁶ + 4² .

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3032 + ... + 3104.

It is an arithmetic number, because the mean of its divisors is an integer number (18130).

2²²³⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

223964 is a deficient number, since it is larger than the sum of its proper divisors (211156).

223964 is a wasteful number, since it uses less digits than its factorization.

223964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 223964 is about 473.2483491783. The cubic root of 223964 is about 60.7285257750.

The spelling of 223964 in words is "two hundred twenty-three thousand, nine hundred sixty-four".