209982 has 16 divisors (see below), whose sum is σ = 426240. Its totient is φ = 68952.

The previous prime is 209977. The next prime is 209983. The reversal of 209982 is 289902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209983) by changing a digit.

209982 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, 253 + ... + 695.

It is an arithmetic number, because the mean of its divisors is an integer number (26640).

2²⁰⁹⁹⁸² is an apocalyptic number.

209982 is an abundant number, since it is smaller than the sum of its proper divisors (216258).

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

209982 is a wasteful number, since it uses less digits than its factorization.

209982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 209982 is about 458.2379294646. The cubic root of 209982 is about 59.4375212157.

Adding to 209982 its sum of digits (30), we get a palindrome (210012).

The spelling of 209982 in words is "two hundred nine thousand, nine hundred eighty-two".