223813 has 8 divisors (see below), whose sum is σ = 240768. Its totient is φ = 207504.

The previous prime is 223781. The next prime is 223823. The reversal of 223813 is 318322.

It is a happy number.

223813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 223813 - 2⁵ = 223781 is a prime.

It is a Duffinian number.

223813 is a lucky number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720 + ... + 982.

It is an arithmetic number, because the mean of its divisors is an integer number (30096).

2²²³⁸¹³ is an apocalyptic number.

223813 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

223813 is a deficient number, since it is larger than the sum of its proper divisors (16955).

223813 is a wasteful number, since it uses less digits than its factorization.

223813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323.

The product of its digits is 288, while the sum is 19.

The square root of 223813 is about 473.0887865930. The cubic root of 223813 is about 60.7148746689.

The spelling of 223813 in words is "two hundred twenty-three thousand, eight hundred thirteen".