248209 has 8 divisors (see below), whose sum is σ = 272552. Its totient is φ = 224640.

The previous prime is 248203. The next prime is 248231. The reversal of 248209 is 902842.

248209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48400 + 199809 = 220^2 + 447^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 248209 - 2³ = 248201 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (248201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 637 + ... + 949.

It is an arithmetic number, because the mean of its divisors is an integer number (34069).

2²⁴⁸²⁰⁹ is an apocalyptic number.

It is an amenable number.

248209 is a deficient number, since it is larger than the sum of its proper divisors (24343).

248209 is a wasteful number, since it uses less digits than its factorization.

248209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 248209 is about 498.2057807774. The cubic root of 248209 is about 62.8452572470.

The spelling of 248209 in words is "two hundred forty-eight thousand, two hundred nine".