209946 has 16 divisors (see below), whose sum is σ = 458208. Its totient is φ = 63600.

The previous prime is 209939. The next prime is 209953. The reversal of 209946 is 649902.

It is an interprime number because it is at equal distance from previous prime (209939) and next prime (209953).

It is a d-powerful number, because it can be written as 2¹⁷ + 0 + 9⁴ + 9⁴ + 4⁸ + 6³ .

It is a Curzon number.

It is an unprimeable number.

209946 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 7 ways as a sum of consecutive naturals, for example, 1525 + ... + 1656.

It is an arithmetic number, because the mean of its divisors is an integer number (28638).

209946 is a Friedman number, since it can be written as (9+9)^4*(2+0)-6, using all its digits and the basic arithmetic operations.

2²⁰⁹⁹⁴⁶ is an apocalyptic number.

209946 is an abundant number, since it is smaller than the sum of its proper divisors (248262).

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

209946 is a wasteful number, since it uses less digits than its factorization.

209946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 209946 is about 458.1986468771. The cubic root of 209946 is about 59.4341243006.

It can be divided in two parts, 2099 and 46, that added together give a triangular number (2145 = T₆₅).

The spelling of 209946 in words is "two hundred nine thousand, nine hundred forty-six".