203406 has 32 divisors (see below), whose sum is σ = 483840. Its totient is φ = 55776.

The previous prime is 203393. The next prime is 203417. The reversal of 203406 is 604302.

203406 = 224² + 225² + ... + 227².

203406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203406.

It is an unprimeable number.

203406 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1135 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2²⁰³⁴⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

203406 is an abundant number, since it is smaller than the sum of its proper divisors (280434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203406 is a wasteful number, since it uses less digits than its factorization.

203406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 203406 is about 451.0055432032. The cubic root of 203406 is about 58.8104613716.

Adding to 203406 its reverse (604302), we get a palindrome (807708).

The spelling of 203406 in words is "two hundred three thousand, four hundred six".