223829 has 2 divisors, whose sum is σ = 223830. Its totient is φ = 223828.

The previous prime is 223823. The next prime is 223831. The reversal of 223829 is 928322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223729 + 100 = 473^2 + 10^2 .

It is a cyclic number.

It is not a de Polignac number, because 223829 - 2¹⁶ = 158293 is a prime.

Together with 223831, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₁₉₉₂₅ and since 223829 and 19925 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 223798 and 223807.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111914 + 111915.

It is an arithmetic number, because the mean of its divisors is an integer number (111915).

2²²³⁸²⁹ is an apocalyptic number.

It is an amenable number.

223829 is a deficient number, since it is larger than the sum of its proper divisors (1).

223829 is an equidigital number, since it uses as much as digits as its factorization.

223829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 26.

The square root of 223829 is about 473.1056964358. The cubic root of 223829 is about 60.7163214345.

The spelling of 223829 in words is "two hundred twenty-three thousand, eight hundred twenty-nine".