209392 has 20 divisors (see below), whose sum is σ = 424080. Its totient is φ = 99968.

The previous prime is 209381. The next prime is 209393. The reversal of 209392 is 293902.

209392 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a plaindrome in base 11.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209393) by changing a digit.

209392 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 3 ways as a sum of consecutive naturals, for example, 84 + ... + 652.

It is an arithmetic number, because the mean of its divisors is an integer number (21204).

2²⁰⁹³⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212040).

209392 is an abundant number, since it is smaller than the sum of its proper divisors (214688).

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

209392 is a wasteful number, since it uses less digits than its factorization.

209392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 209392 is about 457.5937062504. The cubic root of 209392 is about 59.3818005138.

The spelling of 209392 in words is "two hundred nine thousand, three hundred ninety-two".