223629 has 16 divisors (see below), whose sum is σ = 356352. Its totient is φ = 121968.

The previous prime is 223621. The next prime is 223633. The reversal of 223629 is 926322.

It is not a de Polignac number, because 223629 - 2³ = 223621 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223599 and 223608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252 + ... + 714.

It is an arithmetic number, because the mean of its divisors is an integer number (22272).

2²²³⁶²⁹ is an apocalyptic number.

It is an amenable number.

223629 is a deficient number, since it is larger than the sum of its proper divisors (132723).

223629 is a wasteful number, since it uses less digits than its factorization.

223629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496.

The product of its digits is 1296, while the sum is 24.

The square root of 223629 is about 472.8942799400. The cubic root of 223629 is about 60.6982319064.

The spelling of 223629 in words is "two hundred twenty-three thousand, six hundred twenty-nine".