209601 has 16 divisors (see below), whose sum is σ = 355200. Its totient is φ = 119664.

The previous prime is 209597. The next prime is 209621. The reversal of 209601 is 106902.

It is not a de Polignac number, because 209601 - 2² = 209597 is a prime.

It is not an unprimeable number, because it can be changed into a prime (209621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (22200).

2²⁰⁹⁶⁰¹ is an apocalyptic number.

209601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

209601 is a deficient number, since it is larger than the sum of its proper divisors (145599).

209601 is a wasteful number, since it uses less digits than its factorization.

209601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 209601 is about 457.8220178192. The cubic root of 209601 is about 59.4015508217.

The spelling of 209601 in words is "two hundred nine thousand, six hundred one".