102209 has 4 divisors (see below), whose sum is σ = 102960. Its totient is φ = 101460.

The previous prime is 102203. The next prime is 102217. The reversal of 102209 is 902201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102193 and 102202.

It is not an unprimeable number, because it can be changed into a prime (102203) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (25740).

2¹⁰²²⁰⁹ is an apocalyptic number.

It is an amenable number.

102209 is a deficient number, since it is larger than the sum of its proper divisors (751).

102209 is an equidigital number, since it uses as much as digits as its factorization.

102209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 102209 is about 319.7014232061. The cubic root of 102209 is about 46.7551778226.

The spelling of 102209 in words is "one hundred two thousand, two hundred nine".