209652 has 12 divisors (see below), whose sum is σ = 489216. Its totient is φ = 69880.

The previous prime is 209647. The next prime is 209659. The reversal of 209652 is 256902.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×209652² = 87907922208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209659) by changing a digit.

209652 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, 8724 + ... + 8747.

It is an arithmetic number, because the mean of its divisors is an integer number (40768).

2²⁰⁹⁶⁵² is an apocalyptic number.

It is an amenable number.

209652 is an abundant number, since it is smaller than the sum of its proper divisors (279564).

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

209652 is a wasteful number, since it uses less digits than its factorization.

209652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17478 (or 17476 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 209652 is about 457.8777129322. The cubic root of 209652 is about 59.4063682818.

Subtracting from 209652 its sum of digits (24), we obtain a triangular number (209628 = T₆₄₇).

It can be divided in two parts, 209 and 652, that added together give a triangular number (861 = T₄₁).

The spelling of 209652 in words is "two hundred nine thousand, six hundred fifty-two".